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Finding the Third Proportional to 8,712 and 16,984

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Solution

The third proportional to 8,712 and 16,984 is: 33,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712 : 16,984 = 16,984 : x
  2. Step 2: Convert to fraction form
    8,712/16,984 = 16,984/x
  3. Step 3: Cross multiply
    8,712x = 16,984 × 16,984
  4. Step 4: Simplify right side
    8,712x = 288,456,256
  5. Step 5: Solve for x
    x = 288,456,256/8,712
  6. Step 6: Final answer
    x = 33,110.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.