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Finding the Third Proportional to 217,438.31 and 440,718.75

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Solution

The third proportional to 217,438.31 and 440,718.75 is: 893,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,438.31 : 440,718.75 = 440,718.75 : x
  2. Step 2: Convert to fraction form
    217,438.31/440,718.75 = 440,718.75/x
  3. Step 3: Cross multiply
    217,438.31x = 440,718.75 × 440,718.75
  4. Step 4: Simplify right side
    217,438.31x = 194,233,016,601.56
  5. Step 5: Solve for x
    x = 194,233,016,601.56/217,438.31
  6. Step 6: Final answer
    x = 893,278.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.