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Finding the Third Proportional to 5,430 and 8,142

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Solution

The third proportional to 5,430 and 8,142 is: 12,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430 : 8,142 = 8,142 : x
  2. Step 2: Convert to fraction form
    5,430/8,142 = 8,142/x
  3. Step 3: Cross multiply
    5,430x = 8,142 × 8,142
  4. Step 4: Simplify right side
    5,430x = 66,292,164
  5. Step 5: Solve for x
    x = 66,292,164/5,430
  6. Step 6: Final answer
    x = 12,208.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.