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Finding the Third Proportional to 8,216 and 8,984

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Solution

The third proportional to 8,216 and 8,984 is: 9,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 8,984 = 8,984 : x
  2. Step 2: Convert to fraction form
    8,216/8,984 = 8,984/x
  3. Step 3: Cross multiply
    8,216x = 8,984 × 8,984
  4. Step 4: Simplify right side
    8,216x = 80,712,256
  5. Step 5: Solve for x
    x = 80,712,256/8,216
  6. Step 6: Final answer
    x = 9,823.79

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.