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Finding the Third Proportional to 86,583 and 138,320

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Solution

The third proportional to 86,583 and 138,320 is: 220,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583 : 138,320 = 138,320 : x
  2. Step 2: Convert to fraction form
    86,583/138,320 = 138,320/x
  3. Step 3: Cross multiply
    86,583x = 138,320 × 138,320
  4. Step 4: Simplify right side
    86,583x = 19,132,422,400
  5. Step 5: Solve for x
    x = 19,132,422,400/86,583
  6. Step 6: Final answer
    x = 220,972.04

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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.