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Finding the Third Proportional to 187,105.78 and 287,923.78

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Solution

The third proportional to 187,105.78 and 287,923.78 is: 443,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,105.78 : 287,923.78 = 287,923.78 : x
  2. Step 2: Convert to fraction form
    187,105.78/287,923.78 = 287,923.78/x
  3. Step 3: Cross multiply
    187,105.78x = 287,923.78 × 287,923.78
  4. Step 4: Simplify right side
    187,105.78x = 82,900,103,809.30
  5. Step 5: Solve for x
    x = 82,900,103,809.30/187,105.78
  6. Step 6: Final answer
    x = 443,065.43

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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.