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Finding the Third Proportional to 7,640.81 and 11,688.38

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Solution

The third proportional to 7,640.81 and 11,688.38 is: 17,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.81 : 11,688.38 = 11,688.38 : x
  2. Step 2: Convert to fraction form
    7,640.81/11,688.38 = 11,688.38/x
  3. Step 3: Cross multiply
    7,640.81x = 11,688.38 × 11,688.38
  4. Step 4: Simplify right side
    7,640.81x = 136,618,110.14
  5. Step 5: Solve for x
    x = 136,618,110.14/7,640.81
  6. Step 6: Final answer
    x = 17,880.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.