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Finding the Third Proportional to 6,668.81 and 15,438.56

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Solution

The third proportional to 6,668.81 and 15,438.56 is: 35,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.81 : 15,438.56 = 15,438.56 : x
  2. Step 2: Convert to fraction form
    6,668.81/15,438.56 = 15,438.56/x
  3. Step 3: Cross multiply
    6,668.81x = 15,438.56 × 15,438.56
  4. Step 4: Simplify right side
    6,668.81x = 238,349,212.07
  5. Step 5: Solve for x
    x = 238,349,212.07/6,668.81
  6. Step 6: Final answer
    x = 35,740.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.