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Finding the Third Proportional to 39,438 and 87,258

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Solution

The third proportional to 39,438 and 87,258 is: 193,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,438 : 87,258 = 87,258 : x
  2. Step 2: Convert to fraction form
    39,438/87,258 = 87,258/x
  3. Step 3: Cross multiply
    39,438x = 87,258 × 87,258
  4. Step 4: Simplify right side
    39,438x = 7,613,958,564
  5. Step 5: Solve for x
    x = 7,613,958,564/39,438
  6. Step 6: Final answer
    x = 193,061.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.