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Finding the Third Proportional to 545,101,502,388 and 1,192,788,123,888

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Solution

The third proportional to 545,101,502,388 and 1,192,788,123,888 is: 2,610,052,443,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,101,502,388 : 1,192,788,123,888 = 1,192,788,123,888 : x
  2. Step 2: Convert to fraction form
    545,101,502,388/1,192,788,123,888 = 1,192,788,123,888/x
  3. Step 3: Cross multiply
    545,101,502,388x = 1,192,788,123,888 × 1,192,788,123,888
  4. Step 4: Simplify right side
    545,101,502,388x = 1,422,743,508,488,254,937,628,672
  5. Step 5: Solve for x
    x = 1,422,743,508,488,254,937,628,672/545,101,502,388
  6. Step 6: Final answer
    x = 2,610,052,443,912.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.