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Finding the Third Proportional to 187,299 and 287,199

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Solution

The third proportional to 187,299 and 287,199 is: 440,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,299 : 287,199 = 287,199 : x
  2. Step 2: Convert to fraction form
    187,299/287,199 = 287,199/x
  3. Step 3: Cross multiply
    187,299x = 287,199 × 287,199
  4. Step 4: Simplify right side
    187,299x = 82,483,265,601
  5. Step 5: Solve for x
    x = 82,483,265,601/187,299
  6. Step 6: Final answer
    x = 440,382.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.