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Finding the Third Proportional to 39,184 and 86,143

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Solution

The third proportional to 39,184 and 86,143 is: 189,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,184 : 86,143 = 86,143 : x
  2. Step 2: Convert to fraction form
    39,184/86,143 = 86,143/x
  3. Step 3: Cross multiply
    39,184x = 86,143 × 86,143
  4. Step 4: Simplify right side
    39,184x = 7,420,616,449
  5. Step 5: Solve for x
    x = 7,420,616,449/39,184
  6. Step 6: Final answer
    x = 189,378.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.