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Finding the Third Proportional to 10,222.45 and 20,820.80

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Solution

The third proportional to 10,222.45 and 20,820.80 is: 42,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.45 : 20,820.80 = 20,820.80 : x
  2. Step 2: Convert to fraction form
    10,222.45/20,820.80 = 20,820.80/x
  3. Step 3: Cross multiply
    10,222.45x = 20,820.80 × 20,820.80
  4. Step 4: Simplify right side
    10,222.45x = 433,505,582.51
  5. Step 5: Solve for x
    x = 433,505,582.51/10,222.45
  6. Step 6: Final answer
    x = 42,407.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.