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Finding the Third Proportional to 138,352 and 269,792

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Solution

The third proportional to 138,352 and 269,792 is: 526,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,352 : 269,792 = 269,792 : x
  2. Step 2: Convert to fraction form
    138,352/269,792 = 269,792/x
  3. Step 3: Cross multiply
    138,352x = 269,792 × 269,792
  4. Step 4: Simplify right side
    138,352x = 72,787,723,264
  5. Step 5: Solve for x
    x = 72,787,723,264/138,352
  6. Step 6: Final answer
    x = 526,105.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.