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Finding the Third Proportional to 7,133 and 8,321

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Solution

The third proportional to 7,133 and 8,321 is: 9,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133 : 8,321 = 8,321 : x
  2. Step 2: Convert to fraction form
    7,133/8,321 = 8,321/x
  3. Step 3: Cross multiply
    7,133x = 8,321 × 8,321
  4. Step 4: Simplify right side
    7,133x = 69,239,041
  5. Step 5: Solve for x
    x = 69,239,041/7,133
  6. Step 6: Final answer
    x = 9,706.86

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.