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Finding the Third Proportional to 39,690 and 87,156

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Solution

The third proportional to 39,690 and 87,156 is: 191,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,690 : 87,156 = 87,156 : x
  2. Step 2: Convert to fraction form
    39,690/87,156 = 87,156/x
  3. Step 3: Cross multiply
    39,690x = 87,156 × 87,156
  4. Step 4: Simplify right side
    39,690x = 7,596,168,336
  5. Step 5: Solve for x
    x = 7,596,168,336/39,690
  6. Step 6: Final answer
    x = 191,387.46

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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.