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Finding the Third Proportional to 221,169,564 and 491,428,152

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Solution

The third proportional to 221,169,564 and 491,428,152 is: 1,091,929,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,169,564 : 491,428,152 = 491,428,152 : x
  2. Step 2: Convert to fraction form
    221,169,564/491,428,152 = 491,428,152/x
  3. Step 3: Cross multiply
    221,169,564x = 491,428,152 × 491,428,152
  4. Step 4: Simplify right side
    221,169,564x = 241,501,628,578,135,104
  5. Step 5: Solve for x
    x = 241,501,628,578,135,104/221,169,564
  6. Step 6: Final answer
    x = 1,091,929,758.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.