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Finding the Third Proportional to 217 and 410.50

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Solution

The third proportional to 217 and 410.50 is: 776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217 : 410.50 = 410.50 : x
  2. Step 2: Convert to fraction form
    217/410.50 = 410.50/x
  3. Step 3: Cross multiply
    217x = 410.50 × 410.50
  4. Step 4: Simplify right side
    217x = 168,510.25
  5. Step 5: Solve for x
    x = 168,510.25/217
  6. Step 6: Final answer
    x = 776.54

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.