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Finding the Third Proportional to 4,217 and 7,489

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Solution

The third proportional to 4,217 and 7,489 is: 13,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217 : 7,489 = 7,489 : x
  2. Step 2: Convert to fraction form
    4,217/7,489 = 7,489/x
  3. Step 3: Cross multiply
    4,217x = 7,489 × 7,489
  4. Step 4: Simplify right side
    4,217x = 56,085,121
  5. Step 5: Solve for x
    x = 56,085,121/4,217
  6. Step 6: Final answer
    x = 13,299.77

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.