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Finding the Third Proportional to 5,421 and 8,130

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Solution

The third proportional to 5,421 and 8,130 is: 12,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421 : 8,130 = 8,130 : x
  2. Step 2: Convert to fraction form
    5,421/8,130 = 8,130/x
  3. Step 3: Cross multiply
    5,421x = 8,130 × 8,130
  4. Step 4: Simplify right side
    5,421x = 66,096,900
  5. Step 5: Solve for x
    x = 66,096,900/5,421
  6. Step 6: Final answer
    x = 12,192.75

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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.