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Finding the Third Proportional to 57,432 and 121,822

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Solution

The third proportional to 57,432 and 121,822 is: 258,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,432 : 121,822 = 121,822 : x
  2. Step 2: Convert to fraction form
    57,432/121,822 = 121,822/x
  3. Step 3: Cross multiply
    57,432x = 121,822 × 121,822
  4. Step 4: Simplify right side
    57,432x = 14,840,599,684
  5. Step 5: Solve for x
    x = 14,840,599,684/57,432
  6. Step 6: Final answer
    x = 258,402.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.