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Finding the Third Proportional to 85,854 and 126,211

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Solution

The third proportional to 85,854 and 126,211 is: 185,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,854 : 126,211 = 126,211 : x
  2. Step 2: Convert to fraction form
    85,854/126,211 = 126,211/x
  3. Step 3: Cross multiply
    85,854x = 126,211 × 126,211
  4. Step 4: Simplify right side
    85,854x = 15,929,216,521
  5. Step 5: Solve for x
    x = 15,929,216,521/85,854
  6. Step 6: Final answer
    x = 185,538.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.