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Finding the Third Proportional to 62,986 and 138,258

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Solution

The third proportional to 62,986 and 138,258 is: 303,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,986 : 138,258 = 138,258 : x
  2. Step 2: Convert to fraction form
    62,986/138,258 = 138,258/x
  3. Step 3: Cross multiply
    62,986x = 138,258 × 138,258
  4. Step 4: Simplify right side
    62,986x = 19,115,274,564
  5. Step 5: Solve for x
    x = 19,115,274,564/62,986
  6. Step 6: Final answer
    x = 303,484.50

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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.