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Finding the Third Proportional to 307,694 and 664,595.50

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Solution

The third proportional to 307,694 and 664,595.50 is: 1,435,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,694 : 664,595.50 = 664,595.50 : x
  2. Step 2: Convert to fraction form
    307,694/664,595.50 = 664,595.50/x
  3. Step 3: Cross multiply
    307,694x = 664,595.50 × 664,595.50
  4. Step 4: Simplify right side
    307,694x = 441,687,178,620.25
  5. Step 5: Solve for x
    x = 441,687,178,620.25/307,694
  6. Step 6: Final answer
    x = 1,435,475.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.