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Finding the Third Proportional to 143,568 and 213,949.13

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Solution

The third proportional to 143,568 and 213,949.13 is: 318,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,568 : 213,949.13 = 213,949.13 : x
  2. Step 2: Convert to fraction form
    143,568/213,949.13 = 213,949.13/x
  3. Step 3: Cross multiply
    143,568x = 213,949.13 × 213,949.13
  4. Step 4: Simplify right side
    143,568x = 45,774,228,088.27
  5. Step 5: Solve for x
    x = 45,774,228,088.27/143,568
  6. Step 6: Final answer
    x = 318,833.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.