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Finding the Third Proportional to 151,489 and 329,580

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Solution

The third proportional to 151,489 and 329,580 is: 717,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,489 : 329,580 = 329,580 : x
  2. Step 2: Convert to fraction form
    151,489/329,580 = 329,580/x
  3. Step 3: Cross multiply
    151,489x = 329,580 × 329,580
  4. Step 4: Simplify right side
    151,489x = 108,622,976,400
  5. Step 5: Solve for x
    x = 108,622,976,400/151,489
  6. Step 6: Final answer
    x = 717,035.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.