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Finding the Third Proportional to 67,082 and 138,417

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Solution

The third proportional to 67,082 and 138,417 is: 285,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,082 : 138,417 = 138,417 : x
  2. Step 2: Convert to fraction form
    67,082/138,417 = 138,417/x
  3. Step 3: Cross multiply
    67,082x = 138,417 × 138,417
  4. Step 4: Simplify right side
    67,082x = 19,159,265,889
  5. Step 5: Solve for x
    x = 19,159,265,889/67,082
  6. Step 6: Final answer
    x = 285,609.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.