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Finding the Third Proportional to 82,046 and 126,532

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Solution

The third proportional to 82,046 and 126,532 is: 195,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,046 : 126,532 = 126,532 : x
  2. Step 2: Convert to fraction form
    82,046/126,532 = 126,532/x
  3. Step 3: Cross multiply
    82,046x = 126,532 × 126,532
  4. Step 4: Simplify right side
    82,046x = 16,010,347,024
  5. Step 5: Solve for x
    x = 16,010,347,024/82,046
  6. Step 6: Final answer
    x = 195,138.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.