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Finding the Third Proportional to 283,332 and 421,811

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Solution

The third proportional to 283,332 and 421,811 is: 627,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,332 : 421,811 = 421,811 : x
  2. Step 2: Convert to fraction form
    283,332/421,811 = 421,811/x
  3. Step 3: Cross multiply
    283,332x = 421,811 × 421,811
  4. Step 4: Simplify right side
    283,332x = 177,924,519,721
  5. Step 5: Solve for x
    x = 177,924,519,721/283,332
  6. Step 6: Final answer
    x = 627,971.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.