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Finding the Third Proportional to 60,402 and 129,115

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Solution

The third proportional to 60,402 and 129,115 is: 275,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,402 : 129,115 = 129,115 : x
  2. Step 2: Convert to fraction form
    60,402/129,115 = 129,115/x
  3. Step 3: Cross multiply
    60,402x = 129,115 × 129,115
  4. Step 4: Simplify right side
    60,402x = 16,670,683,225
  5. Step 5: Solve for x
    x = 16,670,683,225/60,402
  6. Step 6: Final answer
    x = 275,995.55

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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.