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Finding the Third Proportional to 138,118 and 207,689

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Solution

The third proportional to 138,118 and 207,689 is: 312,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,118 : 207,689 = 207,689 : x
  2. Step 2: Convert to fraction form
    138,118/207,689 = 207,689/x
  3. Step 3: Cross multiply
    138,118x = 207,689 × 207,689
  4. Step 4: Simplify right side
    138,118x = 43,134,720,721
  5. Step 5: Solve for x
    x = 43,134,720,721/138,118
  6. Step 6: Final answer
    x = 312,303.40

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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.