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Finding the Third Proportional to 217,443 and 471,078

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Solution

The third proportional to 217,443 and 471,078 is: 1,020,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,443 : 471,078 = 471,078 : x
  2. Step 2: Convert to fraction form
    217,443/471,078 = 471,078/x
  3. Step 3: Cross multiply
    217,443x = 471,078 × 471,078
  4. Step 4: Simplify right side
    217,443x = 221,914,482,084
  5. Step 5: Solve for x
    x = 221,914,482,084/217,443
  6. Step 6: Final answer
    x = 1,020,563.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.