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Finding the Third Proportional to 7,143.38 and 10,708.13

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Solution

The third proportional to 7,143.38 and 10,708.13 is: 16,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.38 : 10,708.13 = 10,708.13 : x
  2. Step 2: Convert to fraction form
    7,143.38/10,708.13 = 10,708.13/x
  3. Step 3: Cross multiply
    7,143.38x = 10,708.13 × 10,708.13
  4. Step 4: Simplify right side
    7,143.38x = 114,663,941.02
  5. Step 5: Solve for x
    x = 114,663,941.02/7,143.38
  6. Step 6: Final answer
    x = 16,051.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.