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Finding the Third Proportional to 320,466 and 491,766

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Solution

The third proportional to 320,466 and 491,766 is: 754,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,466 : 491,766 = 491,766 : x
  2. Step 2: Convert to fraction form
    320,466/491,766 = 491,766/x
  3. Step 3: Cross multiply
    320,466x = 491,766 × 491,766
  4. Step 4: Simplify right side
    320,466x = 241,833,798,756
  5. Step 5: Solve for x
    x = 241,833,798,756/320,466
  6. Step 6: Final answer
    x = 754,631.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.