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Finding the Third Proportional to 63,311 and 138,382

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Solution

The third proportional to 63,311 and 138,382 is: 302,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,311 : 138,382 = 138,382 : x
  2. Step 2: Convert to fraction form
    63,311/138,382 = 138,382/x
  3. Step 3: Cross multiply
    63,311x = 138,382 × 138,382
  4. Step 4: Simplify right side
    63,311x = 19,149,577,924
  5. Step 5: Solve for x
    x = 19,149,577,924/63,311
  6. Step 6: Final answer
    x = 302,468.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.