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Finding the Third Proportional to 5,470.31 and 11,989.13

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Solution

The third proportional to 5,470.31 and 11,989.13 is: 26,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.31 : 11,989.13 = 11,989.13 : x
  2. Step 2: Convert to fraction form
    5,470.31/11,989.13 = 11,989.13/x
  3. Step 3: Cross multiply
    5,470.31x = 11,989.13 × 11,989.13
  4. Step 4: Simplify right side
    5,470.31x = 143,739,118.27
  5. Step 5: Solve for x
    x = 143,739,118.27/5,470.31
  6. Step 6: Final answer
    x = 26,276.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.