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Finding the Third Proportional to 20,976.75 and 40,888.69

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Solution

The third proportional to 20,976.75 and 40,888.69 is: 79,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.75 : 40,888.69 = 40,888.69 : x
  2. Step 2: Convert to fraction form
    20,976.75/40,888.69 = 40,888.69/x
  3. Step 3: Cross multiply
    20,976.75x = 40,888.69 × 40,888.69
  4. Step 4: Simplify right side
    20,976.75x = 1,671,884,765.47
  5. Step 5: Solve for x
    x = 1,671,884,765.47/20,976.75
  6. Step 6: Final answer
    x = 79,701.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.