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Finding the Third Proportional to 387,226.50 and 820,604.50

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Solution

The third proportional to 387,226.50 and 820,604.50 is: 1,739,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,226.50 : 820,604.50 = 820,604.50 : x
  2. Step 2: Convert to fraction form
    387,226.50/820,604.50 = 820,604.50/x
  3. Step 3: Cross multiply
    387,226.50x = 820,604.50 × 820,604.50
  4. Step 4: Simplify right side
    387,226.50x = 673,391,745,420.25
  5. Step 5: Solve for x
    x = 673,391,745,420.25/387,226.50
  6. Step 6: Final answer
    x = 1,739,012.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.