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Finding the Third Proportional to 60,484 and 128,744

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Solution

The third proportional to 60,484 and 128,744 is: 274,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,484 : 128,744 = 128,744 : x
  2. Step 2: Convert to fraction form
    60,484/128,744 = 128,744/x
  3. Step 3: Cross multiply
    60,484x = 128,744 × 128,744
  4. Step 4: Simplify right side
    60,484x = 16,575,017,536
  5. Step 5: Solve for x
    x = 16,575,017,536/60,484
  6. Step 6: Final answer
    x = 274,039.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.