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Finding the Third Proportional to 103,480 and 221,722

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Solution

The third proportional to 103,480 and 221,722 is: 475,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,480 : 221,722 = 221,722 : x
  2. Step 2: Convert to fraction form
    103,480/221,722 = 221,722/x
  3. Step 3: Cross multiply
    103,480x = 221,722 × 221,722
  4. Step 4: Simplify right side
    103,480x = 49,160,645,284
  5. Step 5: Solve for x
    x = 49,160,645,284/103,480
  6. Step 6: Final answer
    x = 475,073.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.