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Finding the Third Proportional to 187,394.50 and 287,861

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Solution

The third proportional to 187,394.50 and 287,861 is: 442,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,394.50 : 287,861 = 287,861 : x
  2. Step 2: Convert to fraction form
    187,394.50/287,861 = 287,861/x
  3. Step 3: Cross multiply
    187,394.50x = 287,861 × 287,861
  4. Step 4: Simplify right side
    187,394.50x = 82,863,955,321
  5. Step 5: Solve for x
    x = 82,863,955,321/187,394.50
  6. Step 6: Final answer
    x = 442,189.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.