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Finding the Third Proportional to 64,538 and 138,964

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Solution

The third proportional to 64,538 and 138,964 is: 299,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,538 : 138,964 = 138,964 : x
  2. Step 2: Convert to fraction form
    64,538/138,964 = 138,964/x
  3. Step 3: Cross multiply
    64,538x = 138,964 × 138,964
  4. Step 4: Simplify right side
    64,538x = 19,310,993,296
  5. Step 5: Solve for x
    x = 19,310,993,296/64,538
  6. Step 6: Final answer
    x = 299,218.96

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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.