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Finding the Third Proportional to 39,215 and 85,275

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Solution

The third proportional to 39,215 and 85,275 is: 185,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,215 : 85,275 = 85,275 : x
  2. Step 2: Convert to fraction form
    39,215/85,275 = 85,275/x
  3. Step 3: Cross multiply
    39,215x = 85,275 × 85,275
  4. Step 4: Simplify right side
    39,215x = 7,271,825,625
  5. Step 5: Solve for x
    x = 7,271,825,625/39,215
  6. Step 6: Final answer
    x = 185,434.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.