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Finding the Third Proportional to 39,429 and 83,880

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Solution

The third proportional to 39,429 and 83,880 is: 178,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,429 : 83,880 = 83,880 : x
  2. Step 2: Convert to fraction form
    39,429/83,880 = 83,880/x
  3. Step 3: Cross multiply
    39,429x = 83,880 × 83,880
  4. Step 4: Simplify right side
    39,429x = 7,035,854,400
  5. Step 5: Solve for x
    x = 7,035,854,400/39,429
  6. Step 6: Final answer
    x = 178,443.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.