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Finding the Third Proportional to 243,432 and 523,080

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Solution

The third proportional to 243,432 and 523,080 is: 1,123,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,432 : 523,080 = 523,080 : x
  2. Step 2: Convert to fraction form
    243,432/523,080 = 523,080/x
  3. Step 3: Cross multiply
    243,432x = 523,080 × 523,080
  4. Step 4: Simplify right side
    243,432x = 273,612,686,400
  5. Step 5: Solve for x
    x = 273,612,686,400/243,432
  6. Step 6: Final answer
    x = 1,123,979.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.