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Finding the Third Proportional to 9,201 and 9,918

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Solution

The third proportional to 9,201 and 9,918 is: 10,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201 : 9,918 = 9,918 : x
  2. Step 2: Convert to fraction form
    9,201/9,918 = 9,918/x
  3. Step 3: Cross multiply
    9,201x = 9,918 × 9,918
  4. Step 4: Simplify right side
    9,201x = 98,366,724
  5. Step 5: Solve for x
    x = 98,366,724/9,201
  6. Step 6: Final answer
    x = 10,690.87

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.