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Finding the Third Proportional to 135,209.72 and 288,520.13

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Solution

The third proportional to 135,209.72 and 288,520.13 is: 615,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,209.72 : 288,520.13 = 288,520.13 : x
  2. Step 2: Convert to fraction form
    135,209.72/288,520.13 = 288,520.13/x
  3. Step 3: Cross multiply
    135,209.72x = 288,520.13 × 288,520.13
  4. Step 4: Simplify right side
    135,209.72x = 83,243,862,530.02
  5. Step 5: Solve for x
    x = 83,243,862,530.02/135,209.72
  6. Step 6: Final answer
    x = 615,664.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.