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Finding the Third Proportional to 138,698 and 209,271

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Solution

The third proportional to 138,698 and 209,271 is: 315,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,698 : 209,271 = 209,271 : x
  2. Step 2: Convert to fraction form
    138,698/209,271 = 209,271/x
  3. Step 3: Cross multiply
    138,698x = 209,271 × 209,271
  4. Step 4: Simplify right side
    138,698x = 43,794,351,441
  5. Step 5: Solve for x
    x = 43,794,351,441/138,698
  6. Step 6: Final answer
    x = 315,753.30

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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.