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Finding the Third Proportional to 206,506.13 and 317,643.19

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Solution

The third proportional to 206,506.13 and 317,643.19 is: 488,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,506.13 : 317,643.19 = 317,643.19 : x
  2. Step 2: Convert to fraction form
    206,506.13/317,643.19 = 317,643.19/x
  3. Step 3: Cross multiply
    206,506.13x = 317,643.19 × 317,643.19
  4. Step 4: Simplify right side
    206,506.13x = 100,897,194,565.16
  5. Step 5: Solve for x
    x = 100,897,194,565.16/206,506.13
  6. Step 6: Final answer
    x = 488,591.78

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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.