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Finding the Third Proportional to 5,770.50 and 9,182.25

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Solution

The third proportional to 5,770.50 and 9,182.25 is: 14,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.50 : 9,182.25 = 9,182.25 : x
  2. Step 2: Convert to fraction form
    5,770.50/9,182.25 = 9,182.25/x
  3. Step 3: Cross multiply
    5,770.50x = 9,182.25 × 9,182.25
  4. Step 4: Simplify right side
    5,770.50x = 84,313,715.06
  5. Step 5: Solve for x
    x = 84,313,715.06/5,770.50
  6. Step 6: Final answer
    x = 14,611.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.