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Finding the Third Proportional to 2,645.47 and 3,889.19

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Solution

The third proportional to 2,645.47 and 3,889.19 is: 5,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.47 : 3,889.19 = 3,889.19 : x
  2. Step 2: Convert to fraction form
    2,645.47/3,889.19 = 3,889.19/x
  3. Step 3: Cross multiply
    2,645.47x = 3,889.19 × 3,889.19
  4. Step 4: Simplify right side
    2,645.47x = 15,125,771.81
  5. Step 5: Solve for x
    x = 15,125,771.81/2,645.47
  6. Step 6: Final answer
    x = 5,717.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.