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Finding the Third Proportional to 60,603 and 129,630

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Solution

The third proportional to 60,603 and 129,630 is: 277,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,603 : 129,630 = 129,630 : x
  2. Step 2: Convert to fraction form
    60,603/129,630 = 129,630/x
  3. Step 3: Cross multiply
    60,603x = 129,630 × 129,630
  4. Step 4: Simplify right side
    60,603x = 16,803,936,900
  5. Step 5: Solve for x
    x = 16,803,936,900/60,603
  6. Step 6: Final answer
    x = 277,278.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.