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Finding the Third Proportional to 81,774 and 125,073

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Solution

The third proportional to 81,774 and 125,073 is: 191,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,774 : 125,073 = 125,073 : x
  2. Step 2: Convert to fraction form
    81,774/125,073 = 125,073/x
  3. Step 3: Cross multiply
    81,774x = 125,073 × 125,073
  4. Step 4: Simplify right side
    81,774x = 15,643,255,329
  5. Step 5: Solve for x
    x = 15,643,255,329/81,774
  6. Step 6: Final answer
    x = 191,298.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.