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Finding the Third Proportional to 5,535 and 8,584.50

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Solution

The third proportional to 5,535 and 8,584.50 is: 13,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535 : 8,584.50 = 8,584.50 : x
  2. Step 2: Convert to fraction form
    5,535/8,584.50 = 8,584.50/x
  3. Step 3: Cross multiply
    5,535x = 8,584.50 × 8,584.50
  4. Step 4: Simplify right side
    5,535x = 73,693,640.25
  5. Step 5: Solve for x
    x = 73,693,640.25/5,535
  6. Step 6: Final answer
    x = 13,314.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.