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Finding the Third Proportional to 178,422 and 392,331

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Solution

The third proportional to 178,422 and 392,331 is: 862,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,422 : 392,331 = 392,331 : x
  2. Step 2: Convert to fraction form
    178,422/392,331 = 392,331/x
  3. Step 3: Cross multiply
    178,422x = 392,331 × 392,331
  4. Step 4: Simplify right side
    178,422x = 153,923,613,561
  5. Step 5: Solve for x
    x = 153,923,613,561/178,422
  6. Step 6: Final answer
    x = 862,694.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.