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Finding the Third Proportional to 181,689 and 424,380

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Solution

The third proportional to 181,689 and 424,380 is: 991,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,689 : 424,380 = 424,380 : x
  2. Step 2: Convert to fraction form
    181,689/424,380 = 424,380/x
  3. Step 3: Cross multiply
    181,689x = 424,380 × 424,380
  4. Step 4: Simplify right side
    181,689x = 180,098,384,400
  5. Step 5: Solve for x
    x = 180,098,384,400/181,689
  6. Step 6: Final answer
    x = 991,245.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.