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Finding the Third Proportional to 81,752 and 126,308

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Solution

The third proportional to 81,752 and 126,308 is: 195,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,752 : 126,308 = 126,308 : x
  2. Step 2: Convert to fraction form
    81,752/126,308 = 126,308/x
  3. Step 3: Cross multiply
    81,752x = 126,308 × 126,308
  4. Step 4: Simplify right side
    81,752x = 15,953,710,864
  5. Step 5: Solve for x
    x = 15,953,710,864/81,752
  6. Step 6: Final answer
    x = 195,147.65

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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.