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Finding the Third Proportional to 5,140 and 8,184

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Solution

The third proportional to 5,140 and 8,184 is: 13,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 8,184 = 8,184 : x
  2. Step 2: Convert to fraction form
    5,140/8,184 = 8,184/x
  3. Step 3: Cross multiply
    5,140x = 8,184 × 8,184
  4. Step 4: Simplify right side
    5,140x = 66,977,856
  5. Step 5: Solve for x
    x = 66,977,856/5,140
  6. Step 6: Final answer
    x = 13,030.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.