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Finding the Third Proportional to 207,644 and 318,320

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Solution

The third proportional to 207,644 and 318,320 is: 487,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,644 : 318,320 = 318,320 : x
  2. Step 2: Convert to fraction form
    207,644/318,320 = 318,320/x
  3. Step 3: Cross multiply
    207,644x = 318,320 × 318,320
  4. Step 4: Simplify right side
    207,644x = 101,327,622,400
  5. Step 5: Solve for x
    x = 101,327,622,400/207,644
  6. Step 6: Final answer
    x = 487,987.24

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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.