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Finding the Third Proportional to 5,216 and 6,603

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Solution

The third proportional to 5,216 and 6,603 is: 8,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 6,603 = 6,603 : x
  2. Step 2: Convert to fraction form
    5,216/6,603 = 6,603/x
  3. Step 3: Cross multiply
    5,216x = 6,603 × 6,603
  4. Step 4: Simplify right side
    5,216x = 43,599,609
  5. Step 5: Solve for x
    x = 43,599,609/5,216
  6. Step 6: Final answer
    x = 8,358.82

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.