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Finding the Third Proportional to 135,218.11 and 210,208.29

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Solution

The third proportional to 135,218.11 and 210,208.29 is: 326,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,218.11 : 210,208.29 = 210,208.29 : x
  2. Step 2: Convert to fraction form
    135,218.11/210,208.29 = 210,208.29/x
  3. Step 3: Cross multiply
    135,218.11x = 210,208.29 × 210,208.29
  4. Step 4: Simplify right side
    135,218.11x = 44,187,524,790.58
  5. Step 5: Solve for x
    x = 44,187,524,790.58/135,218.11
  6. Step 6: Final answer
    x = 326,787.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.