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Finding the Third Proportional to 76,565.75 and 122,920.50

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Solution

The third proportional to 76,565.75 and 122,920.50 is: 197,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565.75 : 122,920.50 = 122,920.50 : x
  2. Step 2: Convert to fraction form
    76,565.75/122,920.50 = 122,920.50/x
  3. Step 3: Cross multiply
    76,565.75x = 122,920.50 × 122,920.50
  4. Step 4: Simplify right side
    76,565.75x = 15,109,449,320.25
  5. Step 5: Solve for x
    x = 15,109,449,320.25/76,565.75
  6. Step 6: Final answer
    x = 197,339.53

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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.