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Finding the Third Proportional to 64,939 and 139,228

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Solution

The third proportional to 64,939 and 139,228 is: 298,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,939 : 139,228 = 139,228 : x
  2. Step 2: Convert to fraction form
    64,939/139,228 = 139,228/x
  3. Step 3: Cross multiply
    64,939x = 139,228 × 139,228
  4. Step 4: Simplify right side
    64,939x = 19,384,435,984
  5. Step 5: Solve for x
    x = 19,384,435,984/64,939
  6. Step 6: Final answer
    x = 298,502.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.