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Finding the Third Proportional to 8,106.33 and 9,792.14

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Solution

The third proportional to 8,106.33 and 9,792.14 is: 11,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.33 : 9,792.14 = 9,792.14 : x
  2. Step 2: Convert to fraction form
    8,106.33/9,792.14 = 9,792.14/x
  3. Step 3: Cross multiply
    8,106.33x = 9,792.14 × 9,792.14
  4. Step 4: Simplify right side
    8,106.33x = 95,886,018.02
  5. Step 5: Solve for x
    x = 95,886,018.02/8,106.33
  6. Step 6: Final answer
    x = 11,828.54

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.