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Finding the Third Proportional to 315,540.56 and 694,164.94

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Solution

The third proportional to 315,540.56 and 694,164.94 is: 1,527,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,540.56 : 694,164.94 = 694,164.94 : x
  2. Step 2: Convert to fraction form
    315,540.56/694,164.94 = 694,164.94/x
  3. Step 3: Cross multiply
    315,540.56x = 694,164.94 × 694,164.94
  4. Step 4: Simplify right side
    315,540.56x = 481,864,960,454.38
  5. Step 5: Solve for x
    x = 481,864,960,454.38/315,540.56
  6. Step 6: Final answer
    x = 1,527,109.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.