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Finding the Third Proportional to 5,143.31 and 7,681.22

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Solution

The third proportional to 5,143.31 and 7,681.22 is: 11,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.31 : 7,681.22 = 7,681.22 : x
  2. Step 2: Convert to fraction form
    5,143.31/7,681.22 = 7,681.22/x
  3. Step 3: Cross multiply
    5,143.31x = 7,681.22 × 7,681.22
  4. Step 4: Simplify right side
    5,143.31x = 59,001,121.49
  5. Step 5: Solve for x
    x = 59,001,121.49/5,143.31
  6. Step 6: Final answer
    x = 11,471.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.