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Finding the Third Proportional to 101,292 and 220,815

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Solution

The third proportional to 101,292 and 220,815 is: 481,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,292 : 220,815 = 220,815 : x
  2. Step 2: Convert to fraction form
    101,292/220,815 = 220,815/x
  3. Step 3: Cross multiply
    101,292x = 220,815 × 220,815
  4. Step 4: Simplify right side
    101,292x = 48,759,264,225
  5. Step 5: Solve for x
    x = 48,759,264,225/101,292
  6. Step 6: Final answer
    x = 481,373.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.