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Finding the Third Proportional to 138,718 and 209,536

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Solution

The third proportional to 138,718 and 209,536 is: 316,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,718 : 209,536 = 209,536 : x
  2. Step 2: Convert to fraction form
    138,718/209,536 = 209,536/x
  3. Step 3: Cross multiply
    138,718x = 209,536 × 209,536
  4. Step 4: Simplify right side
    138,718x = 43,905,335,296
  5. Step 5: Solve for x
    x = 43,905,335,296/138,718
  6. Step 6: Final answer
    x = 316,507.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.