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Finding the Third Proportional to 39,284 and 86,340

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Solution

The third proportional to 39,284 and 86,340 is: 189,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,284 : 86,340 = 86,340 : x
  2. Step 2: Convert to fraction form
    39,284/86,340 = 86,340/x
  3. Step 3: Cross multiply
    39,284x = 86,340 × 86,340
  4. Step 4: Simplify right side
    39,284x = 7,454,595,600
  5. Step 5: Solve for x
    x = 7,454,595,600/39,284
  6. Step 6: Final answer
    x = 189,761.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.