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Finding the Third Proportional to 77,344,713 and 111,854,115

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Solution

The third proportional to 77,344,713 and 111,854,115 is: 161,760,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344,713 : 111,854,115 = 111,854,115 : x
  2. Step 2: Convert to fraction form
    77,344,713/111,854,115 = 111,854,115/x
  3. Step 3: Cross multiply
    77,344,713x = 111,854,115 × 111,854,115
  4. Step 4: Simplify right side
    77,344,713x = 12,511,343,042,433,224
  5. Step 5: Solve for x
    x = 12,511,343,042,433,224/77,344,713
  6. Step 6: Final answer
    x = 161,760,805.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.