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Finding the Third Proportional to 60,972 and 128,586

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Solution

The third proportional to 60,972 and 128,586 is: 271,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,972 : 128,586 = 128,586 : x
  2. Step 2: Convert to fraction form
    60,972/128,586 = 128,586/x
  3. Step 3: Cross multiply
    60,972x = 128,586 × 128,586
  4. Step 4: Simplify right side
    60,972x = 16,534,359,396
  5. Step 5: Solve for x
    x = 16,534,359,396/60,972
  6. Step 6: Final answer
    x = 271,179.55

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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.