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Finding the Third Proportional to 217,812 and 469,000

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Solution

The third proportional to 217,812 and 469,000 is: 1,009,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,812 : 469,000 = 469,000 : x
  2. Step 2: Convert to fraction form
    217,812/469,000 = 469,000/x
  3. Step 3: Cross multiply
    217,812x = 469,000 × 469,000
  4. Step 4: Simplify right side
    217,812x = 219,961,000,000
  5. Step 5: Solve for x
    x = 219,961,000,000/217,812
  6. Step 6: Final answer
    x = 1,009,866.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.