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Finding the Third Proportional to 309,631.78 and 472,452.75

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Solution

The third proportional to 309,631.78 and 472,452.75 is: 720,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,631.78 : 472,452.75 = 472,452.75 : x
  2. Step 2: Convert to fraction form
    309,631.78/472,452.75 = 472,452.75/x
  3. Step 3: Cross multiply
    309,631.78x = 472,452.75 × 472,452.75
  4. Step 4: Simplify right side
    309,631.78x = 223,211,600,982.56
  5. Step 5: Solve for x
    x = 223,211,600,982.56/309,631.78
  6. Step 6: Final answer
    x = 720,893.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.