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Finding the Third Proportional to 179,550 and 278,397

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Solution

The third proportional to 179,550 and 278,397 is: 431,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,550 : 278,397 = 278,397 : x
  2. Step 2: Convert to fraction form
    179,550/278,397 = 278,397/x
  3. Step 3: Cross multiply
    179,550x = 278,397 × 278,397
  4. Step 4: Simplify right side
    179,550x = 77,504,889,609
  5. Step 5: Solve for x
    x = 77,504,889,609/179,550
  6. Step 6: Final answer
    x = 431,661.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.