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Finding the Third Proportional to 100,792 and 221,608

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Solution

The third proportional to 100,792 and 221,608 is: 487,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,792 : 221,608 = 221,608 : x
  2. Step 2: Convert to fraction form
    100,792/221,608 = 221,608/x
  3. Step 3: Cross multiply
    100,792x = 221,608 × 221,608
  4. Step 4: Simplify right side
    100,792x = 49,110,105,664
  5. Step 5: Solve for x
    x = 49,110,105,664/100,792
  6. Step 6: Final answer
    x = 487,242.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.