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Finding the Third Proportional to 315,035 and 474,811

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Solution

The third proportional to 315,035 and 474,811 is: 715,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,035 : 474,811 = 474,811 : x
  2. Step 2: Convert to fraction form
    315,035/474,811 = 474,811/x
  3. Step 3: Cross multiply
    315,035x = 474,811 × 474,811
  4. Step 4: Simplify right side
    315,035x = 225,445,485,721
  5. Step 5: Solve for x
    x = 225,445,485,721/315,035
  6. Step 6: Final answer
    x = 715,620.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.