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Finding the Third Proportional to 204,126.75 and 317,368.13

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Solution

The third proportional to 204,126.75 and 317,368.13 is: 493,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,126.75 : 317,368.13 = 317,368.13 : x
  2. Step 2: Convert to fraction form
    204,126.75/317,368.13 = 317,368.13/x
  3. Step 3: Cross multiply
    204,126.75x = 317,368.13 × 317,368.13
  4. Step 4: Simplify right side
    204,126.75x = 100,722,526,766.02
  5. Step 5: Solve for x
    x = 100,722,526,766.02/204,126.75
  6. Step 6: Final answer
    x = 493,431.30

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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.