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Finding the Third Proportional to 84,000 and 112,080

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Solution

The third proportional to 84,000 and 112,080 is: 149,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,000 : 112,080 = 112,080 : x
  2. Step 2: Convert to fraction form
    84,000/112,080 = 112,080/x
  3. Step 3: Cross multiply
    84,000x = 112,080 × 112,080
  4. Step 4: Simplify right side
    84,000x = 12,561,926,400
  5. Step 5: Solve for x
    x = 12,561,926,400/84,000
  6. Step 6: Final answer
    x = 149,546.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.