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Finding the Third Proportional to 9,720 and 20,422.13

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Solution

The third proportional to 9,720 and 20,422.13 is: 42,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 20,422.13 = 20,422.13 : x
  2. Step 2: Convert to fraction form
    9,720/20,422.13 = 20,422.13/x
  3. Step 3: Cross multiply
    9,720x = 20,422.13 × 20,422.13
  4. Step 4: Simplify right side
    9,720x = 417,063,189.52
  5. Step 5: Solve for x
    x = 417,063,189.52/9,720
  6. Step 6: Final answer
    x = 42,907.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.