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Finding the Third Proportional to 282,571 and 423,863

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Solution

The third proportional to 282,571 and 423,863 is: 635,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,571 : 423,863 = 423,863 : x
  2. Step 2: Convert to fraction form
    282,571/423,863 = 423,863/x
  3. Step 3: Cross multiply
    282,571x = 423,863 × 423,863
  4. Step 4: Simplify right side
    282,571x = 179,659,842,769
  5. Step 5: Solve for x
    x = 179,659,842,769/282,571
  6. Step 6: Final answer
    x = 635,804.25

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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.