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Finding the Third Proportional to 870,679.13 and 1,311,121.69

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Solution

The third proportional to 870,679.13 and 1,311,121.69 is: 1,974,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,679.13 : 1,311,121.69 = 1,311,121.69 : x
  2. Step 2: Convert to fraction form
    870,679.13/1,311,121.69 = 1,311,121.69/x
  3. Step 3: Cross multiply
    870,679.13x = 1,311,121.69 × 1,311,121.69
  4. Step 4: Simplify right side
    870,679.13x = 1,719,040,079,432.85
  5. Step 5: Solve for x
    x = 1,719,040,079,432.85/870,679.13
  6. Step 6: Final answer
    x = 1,974,366.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.