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Finding the Third Proportional to 7,810.25 and 11,391.25

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Solution

The third proportional to 7,810.25 and 11,391.25 is: 16,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.25 : 11,391.25 = 11,391.25 : x
  2. Step 2: Convert to fraction form
    7,810.25/11,391.25 = 11,391.25/x
  3. Step 3: Cross multiply
    7,810.25x = 11,391.25 × 11,391.25
  4. Step 4: Simplify right side
    7,810.25x = 129,760,576.56
  5. Step 5: Solve for x
    x = 129,760,576.56/7,810.25
  6. Step 6: Final answer
    x = 16,614.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.