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Finding the Third Proportional to 76,862 and 98,211

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Solution

The third proportional to 76,862 and 98,211 is: 125,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,862 : 98,211 = 98,211 : x
  2. Step 2: Convert to fraction form
    76,862/98,211 = 98,211/x
  3. Step 3: Cross multiply
    76,862x = 98,211 × 98,211
  4. Step 4: Simplify right side
    76,862x = 9,645,400,521
  5. Step 5: Solve for x
    x = 9,645,400,521/76,862
  6. Step 6: Final answer
    x = 125,489.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.