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Finding the Third Proportional to 39,171.75 and 57,117

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Solution

The third proportional to 39,171.75 and 57,117 is: 83,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,171.75 : 57,117 = 57,117 : x
  2. Step 2: Convert to fraction form
    39,171.75/57,117 = 57,117/x
  3. Step 3: Cross multiply
    39,171.75x = 57,117 × 57,117
  4. Step 4: Simplify right side
    39,171.75x = 3,262,351,689
  5. Step 5: Solve for x
    x = 3,262,351,689/39,171.75
  6. Step 6: Final answer
    x = 83,283.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.