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Finding the Third Proportional to 101,972 and 220,896

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Solution

The third proportional to 101,972 and 220,896 is: 478,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972 : 220,896 = 220,896 : x
  2. Step 2: Convert to fraction form
    101,972/220,896 = 220,896/x
  3. Step 3: Cross multiply
    101,972x = 220,896 × 220,896
  4. Step 4: Simplify right side
    101,972x = 48,795,042,816
  5. Step 5: Solve for x
    x = 48,795,042,816/101,972
  6. Step 6: Final answer
    x = 478,514.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.