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Finding the Third Proportional to 5,430 and 8,589

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Solution

The third proportional to 5,430 and 8,589 is: 13,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430 : 8,589 = 8,589 : x
  2. Step 2: Convert to fraction form
    5,430/8,589 = 8,589/x
  3. Step 3: Cross multiply
    5,430x = 8,589 × 8,589
  4. Step 4: Simplify right side
    5,430x = 73,770,921
  5. Step 5: Solve for x
    x = 73,770,921/5,430
  6. Step 6: Final answer
    x = 13,585.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.