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Finding the Third Proportional to 280,556 and 406,092

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Solution

The third proportional to 280,556 and 406,092 is: 587,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,556 : 406,092 = 406,092 : x
  2. Step 2: Convert to fraction form
    280,556/406,092 = 406,092/x
  3. Step 3: Cross multiply
    280,556x = 406,092 × 406,092
  4. Step 4: Simplify right side
    280,556x = 164,910,712,464
  5. Step 5: Solve for x
    x = 164,910,712,464/280,556
  6. Step 6: Final answer
    x = 587,799.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.