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Finding the Third Proportional to 217,137 and 472,506

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Solution

The third proportional to 217,137 and 472,506 is: 1,028,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,137 : 472,506 = 472,506 : x
  2. Step 2: Convert to fraction form
    217,137/472,506 = 472,506/x
  3. Step 3: Cross multiply
    217,137x = 472,506 × 472,506
  4. Step 4: Simplify right side
    217,137x = 223,261,920,036
  5. Step 5: Solve for x
    x = 223,261,920,036/217,137
  6. Step 6: Final answer
    x = 1,028,207.63

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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.