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Finding the Third Proportional to 56,420,938 and 77,960,919

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Solution

The third proportional to 56,420,938 and 77,960,919 is: 107,724,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,420,938 : 77,960,919 = 77,960,919 : x
  2. Step 2: Convert to fraction form
    56,420,938/77,960,919 = 77,960,919/x
  3. Step 3: Cross multiply
    56,420,938x = 77,960,919 × 77,960,919
  4. Step 4: Simplify right side
    56,420,938x = 6,077,904,891,324,561
  5. Step 5: Solve for x
    x = 6,077,904,891,324,561/56,420,938
  6. Step 6: Final answer
    x = 107,724,279.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.