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Finding the Third Proportional to 135,429.75 and 209,585.25

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Solution

The third proportional to 135,429.75 and 209,585.25 is: 324,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,429.75 : 209,585.25 = 209,585.25 : x
  2. Step 2: Convert to fraction form
    135,429.75/209,585.25 = 209,585.25/x
  3. Step 3: Cross multiply
    135,429.75x = 209,585.25 × 209,585.25
  4. Step 4: Simplify right side
    135,429.75x = 43,925,977,017.56
  5. Step 5: Solve for x
    x = 43,925,977,017.56/135,429.75
  6. Step 6: Final answer
    x = 324,345.11

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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.