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Finding the Third Proportional to 205,314.75 and 317,773.13

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Solution

The third proportional to 205,314.75 and 317,773.13 is: 491,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314.75 : 317,773.13 = 317,773.13 : x
  2. Step 2: Convert to fraction form
    205,314.75/317,773.13 = 317,773.13/x
  3. Step 3: Cross multiply
    205,314.75x = 317,773.13 × 317,773.13
  4. Step 4: Simplify right side
    205,314.75x = 100,979,758,972.27
  5. Step 5: Solve for x
    x = 100,979,758,972.27/205,314.75
  6. Step 6: Final answer
    x = 491,829.05

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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.