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Finding the Third Proportional to 179,552 and 278,400

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Solution

The third proportional to 179,552 and 278,400 is: 431,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,552 : 278,400 = 278,400 : x
  2. Step 2: Convert to fraction form
    179,552/278,400 = 278,400/x
  3. Step 3: Cross multiply
    179,552x = 278,400 × 278,400
  4. Step 4: Simplify right side
    179,552x = 77,506,560,000
  5. Step 5: Solve for x
    x = 77,506,560,000/179,552
  6. Step 6: Final answer
    x = 431,666.37

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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.