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Finding the Third Proportional to 151,805 and 329,860

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Solution

The third proportional to 151,805 and 329,860 is: 716,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,805 : 329,860 = 329,860 : x
  2. Step 2: Convert to fraction form
    151,805/329,860 = 329,860/x
  3. Step 3: Cross multiply
    151,805x = 329,860 × 329,860
  4. Step 4: Simplify right side
    151,805x = 108,807,619,600
  5. Step 5: Solve for x
    x = 108,807,619,600/151,805
  6. Step 6: Final answer
    x = 716,759.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.