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Finding the Third Proportional to 140,187,728 and 306,802,992

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Solution

The third proportional to 140,187,728 and 306,802,992 is: 671,443,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187,728 : 306,802,992 = 306,802,992 : x
  2. Step 2: Convert to fraction form
    140,187,728/306,802,992 = 306,802,992/x
  3. Step 3: Cross multiply
    140,187,728x = 306,802,992 × 306,802,992
  4. Step 4: Simplify right side
    140,187,728x = 94,128,075,900,152,064
  5. Step 5: Solve for x
    x = 94,128,075,900,152,064/140,187,728
  6. Step 6: Final answer
    x = 671,443,051.71

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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.