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Finding the Third Proportional to 81,588 and 126,072

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Solution

The third proportional to 81,588 and 126,072 is: 194,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,588 : 126,072 = 126,072 : x
  2. Step 2: Convert to fraction form
    81,588/126,072 = 126,072/x
  3. Step 3: Cross multiply
    81,588x = 126,072 × 126,072
  4. Step 4: Simplify right side
    81,588x = 15,894,149,184
  5. Step 5: Solve for x
    x = 15,894,149,184/81,588
  6. Step 6: Final answer
    x = 194,809.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.