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Finding the Third Proportional to 39,840 and 83,496

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Solution

The third proportional to 39,840 and 83,496 is: 174,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,840 : 83,496 = 83,496 : x
  2. Step 2: Convert to fraction form
    39,840/83,496 = 83,496/x
  3. Step 3: Cross multiply
    39,840x = 83,496 × 83,496
  4. Step 4: Simplify right side
    39,840x = 6,971,582,016
  5. Step 5: Solve for x
    x = 6,971,582,016/39,840
  6. Step 6: Final answer
    x = 174,989.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.