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Finding the Third Proportional to 185,427 and 400,419

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Solution

The third proportional to 185,427 and 400,419 is: 864,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,427 : 400,419 = 400,419 : x
  2. Step 2: Convert to fraction form
    185,427/400,419 = 400,419/x
  3. Step 3: Cross multiply
    185,427x = 400,419 × 400,419
  4. Step 4: Simplify right side
    185,427x = 160,335,375,561
  5. Step 5: Solve for x
    x = 160,335,375,561/185,427
  6. Step 6: Final answer
    x = 864,681.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.