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Finding the Third Proportional to 315,538 and 694,180.13

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Solution

The third proportional to 315,538 and 694,180.13 is: 1,527,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,538 : 694,180.13 = 694,180.13 : x
  2. Step 2: Convert to fraction form
    315,538/694,180.13 = 694,180.13/x
  3. Step 3: Cross multiply
    315,538x = 694,180.13 × 694,180.13
  4. Step 4: Simplify right side
    315,538x = 481,886,045,945.02
  5. Step 5: Solve for x
    x = 481,886,045,945.02/315,538
  6. Step 6: Final answer
    x = 1,527,188.63

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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.