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Finding the Third Proportional to 187,393.50 and 287,859.38

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Solution

The third proportional to 187,393.50 and 287,859.38 is: 442,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,393.50 : 287,859.38 = 287,859.38 : x
  2. Step 2: Convert to fraction form
    187,393.50/287,859.38 = 287,859.38/x
  3. Step 3: Cross multiply
    187,393.50x = 287,859.38 × 287,859.38
  4. Step 4: Simplify right side
    187,393.50x = 82,863,019,775.39
  5. Step 5: Solve for x
    x = 82,863,019,775.39/187,393.50
  6. Step 6: Final answer
    x = 442,187.27

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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.