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Finding the Third Proportional to 138,770 and 207,596

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Solution

The third proportional to 138,770 and 207,596 is: 310,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770 : 207,596 = 207,596 : x
  2. Step 2: Convert to fraction form
    138,770/207,596 = 207,596/x
  3. Step 3: Cross multiply
    138,770x = 207,596 × 207,596
  4. Step 4: Simplify right side
    138,770x = 43,096,099,216
  5. Step 5: Solve for x
    x = 43,096,099,216/138,770
  6. Step 6: Final answer
    x = 310,557.75

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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.