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Finding the Third Proportional to 7,212.66 and 11,411.31

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Solution

The third proportional to 7,212.66 and 11,411.31 is: 18,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.66 : 11,411.31 = 11,411.31 : x
  2. Step 2: Convert to fraction form
    7,212.66/11,411.31 = 11,411.31/x
  3. Step 3: Cross multiply
    7,212.66x = 11,411.31 × 11,411.31
  4. Step 4: Simplify right side
    7,212.66x = 130,218,052.97
  5. Step 5: Solve for x
    x = 130,218,052.97/7,212.66
  6. Step 6: Final answer
    x = 18,054.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.