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Finding the Third Proportional to 39,315 and 86,352

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Solution

The third proportional to 39,315 and 86,352 is: 189,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,315 : 86,352 = 86,352 : x
  2. Step 2: Convert to fraction form
    39,315/86,352 = 86,352/x
  3. Step 3: Cross multiply
    39,315x = 86,352 × 86,352
  4. Step 4: Simplify right side
    39,315x = 7,456,667,904
  5. Step 5: Solve for x
    x = 7,456,667,904/39,315
  6. Step 6: Final answer
    x = 189,664.71

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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.