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Finding the Third Proportional to 30,601 and 64,847

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Solution

The third proportional to 30,601 and 64,847 is: 137,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601 : 64,847 = 64,847 : x
  2. Step 2: Convert to fraction form
    30,601/64,847 = 64,847/x
  3. Step 3: Cross multiply
    30,601x = 64,847 × 64,847
  4. Step 4: Simplify right side
    30,601x = 4,205,133,409
  5. Step 5: Solve for x
    x = 4,205,133,409/30,601
  6. Step 6: Final answer
    x = 137,418.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.