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Finding the Third Proportional to 209,024 and 318,452

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Solution

The third proportional to 209,024 and 318,452 is: 485,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,024 : 318,452 = 318,452 : x
  2. Step 2: Convert to fraction form
    209,024/318,452 = 318,452/x
  3. Step 3: Cross multiply
    209,024x = 318,452 × 318,452
  4. Step 4: Simplify right side
    209,024x = 101,411,676,304
  5. Step 5: Solve for x
    x = 101,411,676,304/209,024
  6. Step 6: Final answer
    x = 485,167.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.