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Finding the Third Proportional to 138,496 and 207,510

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Solution

The third proportional to 138,496 and 207,510 is: 310,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496 : 207,510 = 207,510 : x
  2. Step 2: Convert to fraction form
    138,496/207,510 = 207,510/x
  3. Step 3: Cross multiply
    138,496x = 207,510 × 207,510
  4. Step 4: Simplify right side
    138,496x = 43,060,400,100
  5. Step 5: Solve for x
    x = 43,060,400,100/138,496
  6. Step 6: Final answer
    x = 310,914.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.