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Finding the Third Proportional to 143,947.13 and 211,708.69

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Solution

The third proportional to 143,947.13 and 211,708.69 is: 311,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,947.13 : 211,708.69 = 211,708.69 : x
  2. Step 2: Convert to fraction form
    143,947.13/211,708.69 = 211,708.69/x
  3. Step 3: Cross multiply
    143,947.13x = 211,708.69 × 211,708.69
  4. Step 4: Simplify right side
    143,947.13x = 44,820,568,362.97
  5. Step 5: Solve for x
    x = 44,820,568,362.97/143,947.13
  6. Step 6: Final answer
    x = 311,368.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.