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Finding the Third Proportional to 138,256 and 207,332

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Solution

The third proportional to 138,256 and 207,332 is: 310,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,256 : 207,332 = 207,332 : x
  2. Step 2: Convert to fraction form
    138,256/207,332 = 207,332/x
  3. Step 3: Cross multiply
    138,256x = 207,332 × 207,332
  4. Step 4: Simplify right side
    138,256x = 42,986,558,224
  5. Step 5: Solve for x
    x = 42,986,558,224/138,256
  6. Step 6: Final answer
    x = 310,920.02

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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.