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Finding the Third Proportional to 217,811 and 468,996

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Solution

The third proportional to 217,811 and 468,996 is: 1,009,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,811 : 468,996 = 468,996 : x
  2. Step 2: Convert to fraction form
    217,811/468,996 = 468,996/x
  3. Step 3: Cross multiply
    217,811x = 468,996 × 468,996
  4. Step 4: Simplify right side
    217,811x = 219,957,248,016
  5. Step 5: Solve for x
    x = 219,957,248,016/217,811
  6. Step 6: Final answer
    x = 1,009,853.72

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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.