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Finding the Third Proportional to 187,305 and 287,208

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Solution

The third proportional to 187,305 and 287,208 is: 440,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,305 : 287,208 = 287,208 : x
  2. Step 2: Convert to fraction form
    187,305/287,208 = 287,208/x
  3. Step 3: Cross multiply
    187,305x = 287,208 × 287,208
  4. Step 4: Simplify right side
    187,305x = 82,488,435,264
  5. Step 5: Solve for x
    x = 82,488,435,264/187,305
  6. Step 6: Final answer
    x = 440,396.33

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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.