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Finding the Third Proportional to 207,987 and 329,052

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Solution

The third proportional to 207,987 and 329,052 is: 520,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,987 : 329,052 = 329,052 : x
  2. Step 2: Convert to fraction form
    207,987/329,052 = 329,052/x
  3. Step 3: Cross multiply
    207,987x = 329,052 × 329,052
  4. Step 4: Simplify right side
    207,987x = 108,275,218,704
  5. Step 5: Solve for x
    x = 108,275,218,704/207,987
  6. Step 6: Final answer
    x = 520,586.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.