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Finding the Third Proportional to 5,784.75 and 9,222.19

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Solution

The third proportional to 5,784.75 and 9,222.19 is: 14,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.75 : 9,222.19 = 9,222.19 : x
  2. Step 2: Convert to fraction form
    5,784.75/9,222.19 = 9,222.19/x
  3. Step 3: Cross multiply
    5,784.75x = 9,222.19 × 9,222.19
  4. Step 4: Simplify right side
    5,784.75x = 85,048,742.29
  5. Step 5: Solve for x
    x = 85,048,742.29/5,784.75
  6. Step 6: Final answer
    x = 14,702.23

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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.