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Finding the Third Proportional to 86,288 and 185,382

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Solution

The third proportional to 86,288 and 185,382 is: 398,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,288 : 185,382 = 185,382 : x
  2. Step 2: Convert to fraction form
    86,288/185,382 = 185,382/x
  3. Step 3: Cross multiply
    86,288x = 185,382 × 185,382
  4. Step 4: Simplify right side
    86,288x = 34,366,485,924
  5. Step 5: Solve for x
    x = 34,366,485,924/86,288
  6. Step 6: Final answer
    x = 398,276.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.