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Finding the Third Proportional to 63,344 and 139,243

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Solution

The third proportional to 63,344 and 139,243 is: 306,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,344 : 139,243 = 139,243 : x
  2. Step 2: Convert to fraction form
    63,344/139,243 = 139,243/x
  3. Step 3: Cross multiply
    63,344x = 139,243 × 139,243
  4. Step 4: Simplify right side
    63,344x = 19,388,613,049
  5. Step 5: Solve for x
    x = 19,388,613,049/63,344
  6. Step 6: Final answer
    x = 306,084.44

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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.