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Finding the Third Proportional to 151,430 and 329,374

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Solution

The third proportional to 151,430 and 329,374 is: 716,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,430 : 329,374 = 329,374 : x
  2. Step 2: Convert to fraction form
    151,430/329,374 = 329,374/x
  3. Step 3: Cross multiply
    151,430x = 329,374 × 329,374
  4. Step 4: Simplify right side
    151,430x = 108,487,231,876
  5. Step 5: Solve for x
    x = 108,487,231,876/151,430
  6. Step 6: Final answer
    x = 716,418.36

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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.