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Finding the Third Proportional to 101,270 and 221,632

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Solution

The third proportional to 101,270 and 221,632 is: 485,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,270 : 221,632 = 221,632 : x
  2. Step 2: Convert to fraction form
    101,270/221,632 = 221,632/x
  3. Step 3: Cross multiply
    101,270x = 221,632 × 221,632
  4. Step 4: Simplify right side
    101,270x = 49,120,743,424
  5. Step 5: Solve for x
    x = 49,120,743,424/101,270
  6. Step 6: Final answer
    x = 485,047.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.