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Finding the Third Proportional to 63,283 and 139,197

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Solution

The third proportional to 63,283 and 139,197 is: 306,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,283 : 139,197 = 139,197 : x
  2. Step 2: Convert to fraction form
    63,283/139,197 = 139,197/x
  3. Step 3: Cross multiply
    63,283x = 139,197 × 139,197
  4. Step 4: Simplify right side
    63,283x = 19,375,804,809
  5. Step 5: Solve for x
    x = 19,375,804,809/63,283
  6. Step 6: Final answer
    x = 306,177.09

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