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Finding the Third Proportional to 230,420 and 329,498

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Solution

The third proportional to 230,420 and 329,498 is: 471,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,420 : 329,498 = 329,498 : x
  2. Step 2: Convert to fraction form
    230,420/329,498 = 329,498/x
  3. Step 3: Cross multiply
    230,420x = 329,498 × 329,498
  4. Step 4: Simplify right side
    230,420x = 108,568,932,004
  5. Step 5: Solve for x
    x = 108,568,932,004/230,420
  6. Step 6: Final answer
    x = 471,178.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.