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Finding the Third Proportional to 61,205,866 and 129,319,938

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Solution

The third proportional to 61,205,866 and 129,319,938 is: 273,236,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205,866 : 129,319,938 = 129,319,938 : x
  2. Step 2: Convert to fraction form
    61,205,866/129,319,938 = 129,319,938/x
  3. Step 3: Cross multiply
    61,205,866x = 129,319,938 × 129,319,938
  4. Step 4: Simplify right side
    61,205,866x = 16,723,646,364,323,844
  5. Step 5: Solve for x
    x = 16,723,646,364,323,844/61,205,866
  6. Step 6: Final answer
    x = 273,236,005.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.