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Finding the Third Proportional to 181,691 and 424,385

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Solution

The third proportional to 181,691 and 424,385 is: 991,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,691 : 424,385 = 424,385 : x
  2. Step 2: Convert to fraction form
    181,691/424,385 = 424,385/x
  3. Step 3: Cross multiply
    181,691x = 424,385 × 424,385
  4. Step 4: Simplify right side
    181,691x = 180,102,628,225
  5. Step 5: Solve for x
    x = 180,102,628,225/181,691
  6. Step 6: Final answer
    x = 991,257.84

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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.