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Finding the Third Proportional to 206,502.75 and 317,638.13

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Solution

The third proportional to 206,502.75 and 317,638.13 is: 488,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,502.75 : 317,638.13 = 317,638.13 : x
  2. Step 2: Convert to fraction form
    206,502.75/317,638.13 = 317,638.13/x
  3. Step 3: Cross multiply
    206,502.75x = 317,638.13 × 317,638.13
  4. Step 4: Simplify right side
    206,502.75x = 100,893,978,453.52
  5. Step 5: Solve for x
    x = 100,893,978,453.52/206,502.75
  6. Step 6: Final answer
    x = 488,584.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.