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Finding the Third Proportional to 39,288 and 85,416

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Solution

The third proportional to 39,288 and 85,416 is: 185,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,288 : 85,416 = 85,416 : x
  2. Step 2: Convert to fraction form
    39,288/85,416 = 85,416/x
  3. Step 3: Cross multiply
    39,288x = 85,416 × 85,416
  4. Step 4: Simplify right side
    39,288x = 7,295,893,056
  5. Step 5: Solve for x
    x = 7,295,893,056/39,288
  6. Step 6: Final answer
    x = 185,702.84

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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.