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Finding the Third Proportional to 284,542 and 426,074

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Solution

The third proportional to 284,542 and 426,074 is: 638,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,542 : 426,074 = 426,074 : x
  2. Step 2: Convert to fraction form
    284,542/426,074 = 426,074/x
  3. Step 3: Cross multiply
    284,542x = 426,074 × 426,074
  4. Step 4: Simplify right side
    284,542x = 181,539,053,476
  5. Step 5: Solve for x
    x = 181,539,053,476/284,542
  6. Step 6: Final answer
    x = 638,004.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.