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Finding the Third Proportional to 5,428.50 and 7,331.25

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Solution

The third proportional to 5,428.50 and 7,331.25 is: 9,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.50 : 7,331.25 = 7,331.25 : x
  2. Step 2: Convert to fraction form
    5,428.50/7,331.25 = 7,331.25/x
  3. Step 3: Cross multiply
    5,428.50x = 7,331.25 × 7,331.25
  4. Step 4: Simplify right side
    5,428.50x = 53,747,226.56
  5. Step 5: Solve for x
    x = 53,747,226.56/5,428.50
  6. Step 6: Final answer
    x = 9,900.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.