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Finding the Third Proportional to 138,294 and 208,713

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Solution

The third proportional to 138,294 and 208,713 is: 314,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294 : 208,713 = 208,713 : x
  2. Step 2: Convert to fraction form
    138,294/208,713 = 208,713/x
  3. Step 3: Cross multiply
    138,294x = 208,713 × 208,713
  4. Step 4: Simplify right side
    138,294x = 43,561,116,369
  5. Step 5: Solve for x
    x = 43,561,116,369/138,294
  6. Step 6: Final answer
    x = 314,989.20

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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.