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Finding the Third Proportional to 315,171 and 471,642.75

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Solution

The third proportional to 315,171 and 471,642.75 is: 705,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,171 : 471,642.75 = 471,642.75 : x
  2. Step 2: Convert to fraction form
    315,171/471,642.75 = 471,642.75/x
  3. Step 3: Cross multiply
    315,171x = 471,642.75 × 471,642.75
  4. Step 4: Simplify right side
    315,171x = 222,446,883,627.56
  5. Step 5: Solve for x
    x = 222,446,883,627.56/315,171
  6. Step 6: Final answer
    x = 705,797.44

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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.