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Finding the Third Proportional to 284,908 and 442,902

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Solution

The third proportional to 284,908 and 442,902 is: 688,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,908 : 442,902 = 442,902 : x
  2. Step 2: Convert to fraction form
    284,908/442,902 = 442,902/x
  3. Step 3: Cross multiply
    284,908x = 442,902 × 442,902
  4. Step 4: Simplify right side
    284,908x = 196,162,181,604
  5. Step 5: Solve for x
    x = 196,162,181,604/284,908
  6. Step 6: Final answer
    x = 688,510.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.