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Finding the Third Proportional to 86,580.75 and 138,315

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Solution

The third proportional to 86,580.75 and 138,315 is: 220,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580.75 : 138,315 = 138,315 : x
  2. Step 2: Convert to fraction form
    86,580.75/138,315 = 138,315/x
  3. Step 3: Cross multiply
    86,580.75x = 138,315 × 138,315
  4. Step 4: Simplify right side
    86,580.75x = 19,131,039,225
  5. Step 5: Solve for x
    x = 19,131,039,225/86,580.75
  6. Step 6: Final answer
    x = 220,961.81

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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.