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Finding the Third Proportional to 284,848 and 442,822

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Solution

The third proportional to 284,848 and 442,822 is: 688,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,848 : 442,822 = 442,822 : x
  2. Step 2: Convert to fraction form
    284,848/442,822 = 442,822/x
  3. Step 3: Cross multiply
    284,848x = 442,822 × 442,822
  4. Step 4: Simplify right side
    284,848x = 196,091,323,684
  5. Step 5: Solve for x
    x = 196,091,323,684/284,848
  6. Step 6: Final answer
    x = 688,406.88

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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.