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Finding the Third Proportional to 8,943.12 and 19,422.70

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Solution

The third proportional to 8,943.12 and 19,422.70 is: 42,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.12 : 19,422.70 = 19,422.70 : x
  2. Step 2: Convert to fraction form
    8,943.12/19,422.70 = 19,422.70/x
  3. Step 3: Cross multiply
    8,943.12x = 19,422.70 × 19,422.70
  4. Step 4: Simplify right side
    8,943.12x = 377,241,396.68
  5. Step 5: Solve for x
    x = 377,241,396.68/8,943.12
  6. Step 6: Final answer
    x = 42,182.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.