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Finding the Third Proportional to 86,695 and 187,348

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Solution

The third proportional to 86,695 and 187,348 is: 404,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,695 : 187,348 = 187,348 : x
  2. Step 2: Convert to fraction form
    86,695/187,348 = 187,348/x
  3. Step 3: Cross multiply
    86,695x = 187,348 × 187,348
  4. Step 4: Simplify right side
    86,695x = 35,099,273,104
  5. Step 5: Solve for x
    x = 35,099,273,104/86,695
  6. Step 6: Final answer
    x = 404,859.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.