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Finding the Third Proportional to 76,566.25 and 122,921

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Solution

The third proportional to 76,566.25 and 122,921 is: 197,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566.25 : 122,921 = 122,921 : x
  2. Step 2: Convert to fraction form
    76,566.25/122,921 = 122,921/x
  3. Step 3: Cross multiply
    76,566.25x = 122,921 × 122,921
  4. Step 4: Simplify right side
    76,566.25x = 15,109,572,241
  5. Step 5: Solve for x
    x = 15,109,572,241/76,566.25
  6. Step 6: Final answer
    x = 197,339.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.