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Finding the Third Proportional to 8,424 and 9,160

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Solution

The third proportional to 8,424 and 9,160 is: 9,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 9,160 = 9,160 : x
  2. Step 2: Convert to fraction form
    8,424/9,160 = 9,160/x
  3. Step 3: Cross multiply
    8,424x = 9,160 × 9,160
  4. Step 4: Simplify right side
    8,424x = 83,905,600
  5. Step 5: Solve for x
    x = 83,905,600/8,424
  6. Step 6: Final answer
    x = 9,960.30

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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.