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Finding the Third Proportional to 138,752 and 207,569

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Solution

The third proportional to 138,752 and 207,569 is: 310,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752 : 207,569 = 207,569 : x
  2. Step 2: Convert to fraction form
    138,752/207,569 = 207,569/x
  3. Step 3: Cross multiply
    138,752x = 207,569 × 207,569
  4. Step 4: Simplify right side
    138,752x = 43,084,889,761
  5. Step 5: Solve for x
    x = 43,084,889,761/138,752
  6. Step 6: Final answer
    x = 310,517.25

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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.