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Finding the Third Proportional to 81,475 and 121,015

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Solution

The third proportional to 81,475 and 121,015 is: 179,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,475 : 121,015 = 121,015 : x
  2. Step 2: Convert to fraction form
    81,475/121,015 = 121,015/x
  3. Step 3: Cross multiply
    81,475x = 121,015 × 121,015
  4. Step 4: Simplify right side
    81,475x = 14,644,630,225
  5. Step 5: Solve for x
    x = 14,644,630,225/81,475
  6. Step 6: Final answer
    x = 179,743.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.