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Finding the Third Proportional to 138,421 and 217,468

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Solution

The third proportional to 138,421 and 217,468 is: 341,655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421 : 217,468 = 217,468 : x
  2. Step 2: Convert to fraction form
    138,421/217,468 = 217,468/x
  3. Step 3: Cross multiply
    138,421x = 217,468 × 217,468
  4. Step 4: Simplify right side
    138,421x = 47,292,331,024
  5. Step 5: Solve for x
    x = 47,292,331,024/138,421
  6. Step 6: Final answer
    x = 341,655.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.