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Finding the Third Proportional to 203,451.75 and 309,916.13

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Solution

The third proportional to 203,451.75 and 309,916.13 is: 472,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,451.75 : 309,916.13 = 309,916.13 : x
  2. Step 2: Convert to fraction form
    203,451.75/309,916.13 = 309,916.13/x
  3. Step 3: Cross multiply
    203,451.75x = 309,916.13 × 309,916.13
  4. Step 4: Simplify right side
    203,451.75x = 96,048,004,535.02
  5. Step 5: Solve for x
    x = 96,048,004,535.02/203,451.75
  6. Step 6: Final answer
    x = 472,092.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.