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Finding the Third Proportional to 76,166 and 121,629

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Solution

The third proportional to 76,166 and 121,629 is: 194,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,166 : 121,629 = 121,629 : x
  2. Step 2: Convert to fraction form
    76,166/121,629 = 121,629/x
  3. Step 3: Cross multiply
    76,166x = 121,629 × 121,629
  4. Step 4: Simplify right side
    76,166x = 14,793,613,641
  5. Step 5: Solve for x
    x = 14,793,613,641/76,166
  6. Step 6: Final answer
    x = 194,228.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.