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Finding the Third Proportional to 81,560 and 126,054

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Solution

The third proportional to 81,560 and 126,054 is: 194,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,560 : 126,054 = 126,054 : x
  2. Step 2: Convert to fraction form
    81,560/126,054 = 126,054/x
  3. Step 3: Cross multiply
    81,560x = 126,054 × 126,054
  4. Step 4: Simplify right side
    81,560x = 15,889,610,916
  5. Step 5: Solve for x
    x = 15,889,610,916/81,560
  6. Step 6: Final answer
    x = 194,821.12

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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.