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Finding the Third Proportional to 217,633 and 472,645

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Solution

The third proportional to 217,633 and 472,645 is: 1,026,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,633 : 472,645 = 472,645 : x
  2. Step 2: Convert to fraction form
    217,633/472,645 = 472,645/x
  3. Step 3: Cross multiply
    217,633x = 472,645 × 472,645
  4. Step 4: Simplify right side
    217,633x = 223,393,296,025
  5. Step 5: Solve for x
    x = 223,393,296,025/217,633
  6. Step 6: Final answer
    x = 1,026,467.93

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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.