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Finding the Third Proportional to 135,409.50 and 209,555.75

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Solution

The third proportional to 135,409.50 and 209,555.75 is: 324,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,409.50 : 209,555.75 = 209,555.75 : x
  2. Step 2: Convert to fraction form
    135,409.50/209,555.75 = 209,555.75/x
  3. Step 3: Cross multiply
    135,409.50x = 209,555.75 × 209,555.75
  4. Step 4: Simplify right side
    135,409.50x = 43,913,612,358.06
  5. Step 5: Solve for x
    x = 43,913,612,358.06/135,409.50
  6. Step 6: Final answer
    x = 324,302.30

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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.