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Finding the Third Proportional to 217,815.25 and 471,830

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Solution

The third proportional to 217,815.25 and 471,830 is: 1,022,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,815.25 : 471,830 = 471,830 : x
  2. Step 2: Convert to fraction form
    217,815.25/471,830 = 471,830/x
  3. Step 3: Cross multiply
    217,815.25x = 471,830 × 471,830
  4. Step 4: Simplify right side
    217,815.25x = 222,623,548,900
  5. Step 5: Solve for x
    x = 222,623,548,900/217,815.25
  6. Step 6: Final answer
    x = 1,022,075.13

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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.