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Finding the Third Proportional to 5,430 and 9,675

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Solution

The third proportional to 5,430 and 9,675 is: 17,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430 : 9,675 = 9,675 : x
  2. Step 2: Convert to fraction form
    5,430/9,675 = 9,675/x
  3. Step 3: Cross multiply
    5,430x = 9,675 × 9,675
  4. Step 4: Simplify right side
    5,430x = 93,605,625
  5. Step 5: Solve for x
    x = 93,605,625/5,430
  6. Step 6: Final answer
    x = 17,238.60

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.