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Finding the Third Proportional to 215,856 and 471,017

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Solution

The third proportional to 215,856 and 471,017 is: 1,027,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856 : 471,017 = 471,017 : x
  2. Step 2: Convert to fraction form
    215,856/471,017 = 471,017/x
  3. Step 3: Cross multiply
    215,856x = 471,017 × 471,017
  4. Step 4: Simplify right side
    215,856x = 221,857,014,289
  5. Step 5: Solve for x
    x = 221,857,014,289/215,856
  6. Step 6: Final answer
    x = 1,027,801.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.