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Finding the Third Proportional to 315,831 and 485,945

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Solution

The third proportional to 315,831 and 485,945 is: 747,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,831 : 485,945 = 485,945 : x
  2. Step 2: Convert to fraction form
    315,831/485,945 = 485,945/x
  3. Step 3: Cross multiply
    315,831x = 485,945 × 485,945
  4. Step 4: Simplify right side
    315,831x = 236,142,543,025
  5. Step 5: Solve for x
    x = 236,142,543,025/315,831
  6. Step 6: Final answer
    x = 747,686.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.