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Finding the Third Proportional to 7,189.59 and 15,644.81

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Solution

The third proportional to 7,189.59 and 15,644.81 is: 34,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.59 : 15,644.81 = 15,644.81 : x
  2. Step 2: Convert to fraction form
    7,189.59/15,644.81 = 15,644.81/x
  3. Step 3: Cross multiply
    7,189.59x = 15,644.81 × 15,644.81
  4. Step 4: Simplify right side
    7,189.59x = 244,760,158.16
  5. Step 5: Solve for x
    x = 244,760,158.16/7,189.59
  6. Step 6: Final answer
    x = 34,043.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.