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Finding the Third Proportional to 396,641.25 and 578,346.75

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Solution

The third proportional to 396,641.25 and 578,346.75 is: 843,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,641.25 : 578,346.75 = 578,346.75 : x
  2. Step 2: Convert to fraction form
    396,641.25/578,346.75 = 578,346.75/x
  3. Step 3: Cross multiply
    396,641.25x = 578,346.75 × 578,346.75
  4. Step 4: Simplify right side
    396,641.25x = 334,484,963,235.56
  5. Step 5: Solve for x
    x = 334,484,963,235.56/396,641.25
  6. Step 6: Final answer
    x = 843,293.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.