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Finding the Third Proportional to 86,498 and 186,328

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Solution

The third proportional to 86,498 and 186,328 is: 401,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,498 : 186,328 = 186,328 : x
  2. Step 2: Convert to fraction form
    86,498/186,328 = 186,328/x
  3. Step 3: Cross multiply
    86,498x = 186,328 × 186,328
  4. Step 4: Simplify right side
    86,498x = 34,718,123,584
  5. Step 5: Solve for x
    x = 34,718,123,584/86,498
  6. Step 6: Final answer
    x = 401,374.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.