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Finding the Third Proportional to 2,731.13 and 6,419.81

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Solution

The third proportional to 2,731.13 and 6,419.81 is: 15,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.13 : 6,419.81 = 6,419.81 : x
  2. Step 2: Convert to fraction form
    2,731.13/6,419.81 = 6,419.81/x
  3. Step 3: Cross multiply
    2,731.13x = 6,419.81 × 6,419.81
  4. Step 4: Simplify right side
    2,731.13x = 41,213,992.54
  5. Step 5: Solve for x
    x = 41,213,992.54/2,731.13
  6. Step 6: Final answer
    x = 15,090.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.