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Finding the Third Proportional to 40,184 and 87,511

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Solution

The third proportional to 40,184 and 87,511 is: 190,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,184 : 87,511 = 87,511 : x
  2. Step 2: Convert to fraction form
    40,184/87,511 = 87,511/x
  3. Step 3: Cross multiply
    40,184x = 87,511 × 87,511
  4. Step 4: Simplify right side
    40,184x = 7,658,175,121
  5. Step 5: Solve for x
    x = 7,658,175,121/40,184
  6. Step 6: Final answer
    x = 190,577.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.