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Finding the Third Proportional to 315,734 and 472,131

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Solution

The third proportional to 315,734 and 472,131 is: 705,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,734 : 472,131 = 472,131 : x
  2. Step 2: Convert to fraction form
    315,734/472,131 = 472,131/x
  3. Step 3: Cross multiply
    315,734x = 472,131 × 472,131
  4. Step 4: Simplify right side
    315,734x = 222,907,681,161
  5. Step 5: Solve for x
    x = 222,907,681,161/315,734
  6. Step 6: Final answer
    x = 705,998.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.