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Finding the Third Proportional to 8,170 and 9,043

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Solution

The third proportional to 8,170 and 9,043 is: 10,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170 : 9,043 = 9,043 : x
  2. Step 2: Convert to fraction form
    8,170/9,043 = 9,043/x
  3. Step 3: Cross multiply
    8,170x = 9,043 × 9,043
  4. Step 4: Simplify right side
    8,170x = 81,775,849
  5. Step 5: Solve for x
    x = 81,775,849/8,170
  6. Step 6: Final answer
    x = 10,009.28

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.