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Finding the Third Proportional to 64,703 and 139,241

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Solution

The third proportional to 64,703 and 139,241 is: 299,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,703 : 139,241 = 139,241 : x
  2. Step 2: Convert to fraction form
    64,703/139,241 = 139,241/x
  3. Step 3: Cross multiply
    64,703x = 139,241 × 139,241
  4. Step 4: Simplify right side
    64,703x = 19,388,056,081
  5. Step 5: Solve for x
    x = 19,388,056,081/64,703
  6. Step 6: Final answer
    x = 299,646.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.