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Finding the Third Proportional to 7,315.31 and 11,712.09

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Solution

The third proportional to 7,315.31 and 11,712.09 is: 18,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.31 : 11,712.09 = 11,712.09 : x
  2. Step 2: Convert to fraction form
    7,315.31/11,712.09 = 11,712.09/x
  3. Step 3: Cross multiply
    7,315.31x = 11,712.09 × 11,712.09
  4. Step 4: Simplify right side
    7,315.31x = 137,173,140.01
  5. Step 5: Solve for x
    x = 137,173,140.01/7,315.31
  6. Step 6: Final answer
    x = 18,751.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.