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Finding the Third Proportional to 59,942 and 129,118

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Solution

The third proportional to 59,942 and 129,118 is: 278,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,942 : 129,118 = 129,118 : x
  2. Step 2: Convert to fraction form
    59,942/129,118 = 129,118/x
  3. Step 3: Cross multiply
    59,942x = 129,118 × 129,118
  4. Step 4: Simplify right side
    59,942x = 16,671,457,924
  5. Step 5: Solve for x
    x = 16,671,457,924/59,942
  6. Step 6: Final answer
    x = 278,126.49

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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.