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Finding the Third Proportional to 54,510 and 84,432

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Solution

The third proportional to 54,510 and 84,432 is: 130,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,510 : 84,432 = 84,432 : x
  2. Step 2: Convert to fraction form
    54,510/84,432 = 84,432/x
  3. Step 3: Cross multiply
    54,510x = 84,432 × 84,432
  4. Step 4: Simplify right side
    54,510x = 7,128,762,624
  5. Step 5: Solve for x
    x = 7,128,762,624/54,510
  6. Step 6: Final answer
    x = 130,778.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.