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Finding the Third Proportional to 78,128 and 121,162

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Solution

The third proportional to 78,128 and 121,162 is: 187,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128 : 121,162 = 121,162 : x
  2. Step 2: Convert to fraction form
    78,128/121,162 = 121,162/x
  3. Step 3: Cross multiply
    78,128x = 121,162 × 121,162
  4. Step 4: Simplify right side
    78,128x = 14,680,230,244
  5. Step 5: Solve for x
    x = 14,680,230,244/78,128
  6. Step 6: Final answer
    x = 187,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.