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Finding the Third Proportional to 86,352 and 131,320

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Solution

The third proportional to 86,352 and 131,320 is: 199,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,352 : 131,320 = 131,320 : x
  2. Step 2: Convert to fraction form
    86,352/131,320 = 131,320/x
  3. Step 3: Cross multiply
    86,352x = 131,320 × 131,320
  4. Step 4: Simplify right side
    86,352x = 17,244,942,400
  5. Step 5: Solve for x
    x = 17,244,942,400/86,352
  6. Step 6: Final answer
    x = 199,705.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.