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Finding the Third Proportional to 486,406 and 731,166

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Solution

The third proportional to 486,406 and 731,166 is: 1,099,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,406 : 731,166 = 731,166 : x
  2. Step 2: Convert to fraction form
    486,406/731,166 = 731,166/x
  3. Step 3: Cross multiply
    486,406x = 731,166 × 731,166
  4. Step 4: Simplify right side
    486,406x = 534,603,719,556
  5. Step 5: Solve for x
    x = 534,603,719,556/486,406
  6. Step 6: Final answer
    x = 1,099,089.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.