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Finding the Third Proportional to 151,921 and 329,762

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Solution

The third proportional to 151,921 and 329,762 is: 715,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,921 : 329,762 = 329,762 : x
  2. Step 2: Convert to fraction form
    151,921/329,762 = 329,762/x
  3. Step 3: Cross multiply
    151,921x = 329,762 × 329,762
  4. Step 4: Simplify right side
    151,921x = 108,742,976,644
  5. Step 5: Solve for x
    x = 108,742,976,644/151,921
  6. Step 6: Final answer
    x = 715,786.34

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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.