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Finding the Third Proportional to 76,124 and 121,230

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Solution

The third proportional to 76,124 and 121,230 is: 193,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,124 : 121,230 = 121,230 : x
  2. Step 2: Convert to fraction form
    76,124/121,230 = 121,230/x
  3. Step 3: Cross multiply
    76,124x = 121,230 × 121,230
  4. Step 4: Simplify right side
    76,124x = 14,696,712,900
  5. Step 5: Solve for x
    x = 14,696,712,900/76,124
  6. Step 6: Final answer
    x = 193,062.80

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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.