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Finding the Third Proportional to 178,281 and 391,548

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Solution

The third proportional to 178,281 and 391,548 is: 859,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,281 : 391,548 = 391,548 : x
  2. Step 2: Convert to fraction form
    178,281/391,548 = 391,548/x
  3. Step 3: Cross multiply
    178,281x = 391,548 × 391,548
  4. Step 4: Simplify right side
    178,281x = 153,309,836,304
  5. Step 5: Solve for x
    x = 153,309,836,304/178,281
  6. Step 6: Final answer
    x = 859,933.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.