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Finding the Third Proportional to 76,636.13 and 96,960.80

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Solution

The third proportional to 76,636.13 and 96,960.80 is: 122,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,636.13 : 96,960.80 = 96,960.80 : x
  2. Step 2: Convert to fraction form
    76,636.13/96,960.80 = 96,960.80/x
  3. Step 3: Cross multiply
    76,636.13x = 96,960.80 × 96,960.80
  4. Step 4: Simplify right side
    76,636.13x = 9,401,396,130.64
  5. Step 5: Solve for x
    x = 9,401,396,130.64/76,636.13
  6. Step 6: Final answer
    x = 122,675.78

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.