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Finding the Third Proportional to 63,288 and 139,208

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Solution

The third proportional to 63,288 and 139,208 is: 306,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,288 : 139,208 = 139,208 : x
  2. Step 2: Convert to fraction form
    63,288/139,208 = 139,208/x
  3. Step 3: Cross multiply
    63,288x = 139,208 × 139,208
  4. Step 4: Simplify right side
    63,288x = 19,378,867,264
  5. Step 5: Solve for x
    x = 19,378,867,264/63,288
  6. Step 6: Final answer
    x = 306,201.29

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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.