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Finding the Third Proportional to 5,386.50 and 11,425.22

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Solution

The third proportional to 5,386.50 and 11,425.22 is: 24,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.50 : 11,425.22 = 11,425.22 : x
  2. Step 2: Convert to fraction form
    5,386.50/11,425.22 = 11,425.22/x
  3. Step 3: Cross multiply
    5,386.50x = 11,425.22 × 11,425.22
  4. Step 4: Simplify right side
    5,386.50x = 130,535,623.49
  5. Step 5: Solve for x
    x = 130,535,623.49/5,386.50
  6. Step 6: Final answer
    x = 24,233.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.