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Finding the Third Proportional to 76,112 and 121,214

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Solution

The third proportional to 76,112 and 121,214 is: 193,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,112 : 121,214 = 121,214 : x
  2. Step 2: Convert to fraction form
    76,112/121,214 = 121,214/x
  3. Step 3: Cross multiply
    76,112x = 121,214 × 121,214
  4. Step 4: Simplify right side
    76,112x = 14,692,833,796
  5. Step 5: Solve for x
    x = 14,692,833,796/76,112
  6. Step 6: Final answer
    x = 193,042.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.