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Finding the Third Proportional to 9,763.22 and 20,218.78

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Solution

The third proportional to 9,763.22 and 20,218.78 is: 41,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.22 : 20,218.78 = 20,218.78 : x
  2. Step 2: Convert to fraction form
    9,763.22/20,218.78 = 20,218.78/x
  3. Step 3: Cross multiply
    9,763.22x = 20,218.78 × 20,218.78
  4. Step 4: Simplify right side
    9,763.22x = 408,799,115.24
  5. Step 5: Solve for x
    x = 408,799,115.24/9,763.22
  6. Step 6: Final answer
    x = 41,871.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.