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Finding the Third Proportional to 39,995 and 57,156

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Solution

The third proportional to 39,995 and 57,156 is: 81,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,995 : 57,156 = 57,156 : x
  2. Step 2: Convert to fraction form
    39,995/57,156 = 57,156/x
  3. Step 3: Cross multiply
    39,995x = 57,156 × 57,156
  4. Step 4: Simplify right side
    39,995x = 3,266,808,336
  5. Step 5: Solve for x
    x = 3,266,808,336/39,995
  6. Step 6: Final answer
    x = 81,680.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.