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Finding the Third Proportional to 86,580 and 138,314

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Solution

The third proportional to 86,580 and 138,314 is: 220,960.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580 : 138,314 = 138,314 : x
  2. Step 2: Convert to fraction form
    86,580/138,314 = 138,314/x
  3. Step 3: Cross multiply
    86,580x = 138,314 × 138,314
  4. Step 4: Simplify right side
    86,580x = 19,130,762,596
  5. Step 5: Solve for x
    x = 19,130,762,596/86,580
  6. Step 6: Final answer
    x = 220,960.53

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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.