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Finding the Third Proportional to 7,710.19 and 9,299.81

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Solution

The third proportional to 7,710.19 and 9,299.81 is: 11,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.19 : 9,299.81 = 9,299.81 : x
  2. Step 2: Convert to fraction form
    7,710.19/9,299.81 = 9,299.81/x
  3. Step 3: Cross multiply
    7,710.19x = 9,299.81 × 9,299.81
  4. Step 4: Simplify right side
    7,710.19x = 86,486,512.54
  5. Step 5: Solve for x
    x = 86,486,512.54/7,710.19
  6. Step 6: Final answer
    x = 11,217.17

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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.