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Finding the Third Proportional to 131,469 and 287,817

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Solution

The third proportional to 131,469 and 287,817 is: 630,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,469 : 287,817 = 287,817 : x
  2. Step 2: Convert to fraction form
    131,469/287,817 = 287,817/x
  3. Step 3: Cross multiply
    131,469x = 287,817 × 287,817
  4. Step 4: Simplify right side
    131,469x = 82,838,625,489
  5. Step 5: Solve for x
    x = 82,838,625,489/131,469
  6. Step 6: Final answer
    x = 630,100.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.