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Finding the Third Proportional to 8,321 and 12,989

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Solution

The third proportional to 8,321 and 12,989 is: 20,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321 : 12,989 = 12,989 : x
  2. Step 2: Convert to fraction form
    8,321/12,989 = 12,989/x
  3. Step 3: Cross multiply
    8,321x = 12,989 × 12,989
  4. Step 4: Simplify right side
    8,321x = 168,714,121
  5. Step 5: Solve for x
    x = 168,714,121/8,321
  6. Step 6: Final answer
    x = 20,275.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.