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Finding the Third Proportional to 7,111.55 and 15,589.97

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Solution

The third proportional to 7,111.55 and 15,589.97 is: 34,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.55 : 15,589.97 = 15,589.97 : x
  2. Step 2: Convert to fraction form
    7,111.55/15,589.97 = 15,589.97/x
  3. Step 3: Cross multiply
    7,111.55x = 15,589.97 × 15,589.97
  4. Step 4: Simplify right side
    7,111.55x = 243,047,125.63
  5. Step 5: Solve for x
    x = 243,047,125.63/7,111.55
  6. Step 6: Final answer
    x = 34,176.41

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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.