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Finding the Third Proportional to 155,460 and 206,352

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Solution

The third proportional to 155,460 and 206,352 is: 273,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,460 : 206,352 = 206,352 : x
  2. Step 2: Convert to fraction form
    155,460/206,352 = 206,352/x
  3. Step 3: Cross multiply
    155,460x = 206,352 × 206,352
  4. Step 4: Simplify right side
    155,460x = 42,581,147,904
  5. Step 5: Solve for x
    x = 42,581,147,904/155,460
  6. Step 6: Final answer
    x = 273,904.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.