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Finding the Third Proportional to 82,988 and 126,912

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Solution

The third proportional to 82,988 and 126,912 is: 194,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,988 : 126,912 = 126,912 : x
  2. Step 2: Convert to fraction form
    82,988/126,912 = 126,912/x
  3. Step 3: Cross multiply
    82,988x = 126,912 × 126,912
  4. Step 4: Simplify right side
    82,988x = 16,106,655,744
  5. Step 5: Solve for x
    x = 16,106,655,744/82,988
  6. Step 6: Final answer
    x = 194,084.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.