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Finding the Third Proportional to 86,790 and 138,921

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Solution

The third proportional to 86,790 and 138,921 is: 222,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,790 : 138,921 = 138,921 : x
  2. Step 2: Convert to fraction form
    86,790/138,921 = 138,921/x
  3. Step 3: Cross multiply
    86,790x = 138,921 × 138,921
  4. Step 4: Simplify right side
    86,790x = 19,299,044,241
  5. Step 5: Solve for x
    x = 19,299,044,241/86,790
  6. Step 6: Final answer
    x = 222,364.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.