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Finding the Third Proportional to 309,631.78 and 647,352.84

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Solution

The third proportional to 309,631.78 and 647,352.84 is: 1,353,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,631.78 : 647,352.84 = 647,352.84 : x
  2. Step 2: Convert to fraction form
    309,631.78/647,352.84 = 647,352.84/x
  3. Step 3: Cross multiply
    309,631.78x = 647,352.84 × 647,352.84
  4. Step 4: Simplify right side
    309,631.78x = 419,065,704,311.21
  5. Step 5: Solve for x
    x = 419,065,704,311.21/309,631.78
  6. Step 6: Final answer
    x = 1,353,432.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.