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Finding the Third Proportional to 215,856 and 472,455

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Solution

The third proportional to 215,856 and 472,455 is: 1,034,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856 : 472,455 = 472,455 : x
  2. Step 2: Convert to fraction form
    215,856/472,455 = 472,455/x
  3. Step 3: Cross multiply
    215,856x = 472,455 × 472,455
  4. Step 4: Simplify right side
    215,856x = 223,213,727,025
  5. Step 5: Solve for x
    x = 223,213,727,025/215,856
  6. Step 6: Final answer
    x = 1,034,086.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.