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Finding the Third Proportional to 142,761,888 and 306,234,720

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Solution

The third proportional to 142,761,888 and 306,234,720 is: 656,895,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,761,888 : 306,234,720 = 306,234,720 : x
  2. Step 2: Convert to fraction form
    142,761,888/306,234,720 = 306,234,720/x
  3. Step 3: Cross multiply
    142,761,888x = 306,234,720 × 306,234,720
  4. Step 4: Simplify right side
    142,761,888x = 93,779,703,733,478,400
  5. Step 5: Solve for x
    x = 93,779,703,733,478,400/142,761,888
  6. Step 6: Final answer
    x = 656,895,933.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.