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Finding the Third Proportional to 7,840 and 18,184

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Solution

The third proportional to 7,840 and 18,184 is: 42,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840 : 18,184 = 18,184 : x
  2. Step 2: Convert to fraction form
    7,840/18,184 = 18,184/x
  3. Step 3: Cross multiply
    7,840x = 18,184 × 18,184
  4. Step 4: Simplify right side
    7,840x = 330,657,856
  5. Step 5: Solve for x
    x = 330,657,856/7,840
  6. Step 6: Final answer
    x = 42,175.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.