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Finding the Third Proportional to 217,801.50 and 329,985

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Solution

The third proportional to 217,801.50 and 329,985 is: 499,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,801.50 : 329,985 = 329,985 : x
  2. Step 2: Convert to fraction form
    217,801.50/329,985 = 329,985/x
  3. Step 3: Cross multiply
    217,801.50x = 329,985 × 329,985
  4. Step 4: Simplify right side
    217,801.50x = 108,890,100,225
  5. Step 5: Solve for x
    x = 108,890,100,225/217,801.50
  6. Step 6: Final answer
    x = 499,951.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.