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Finding the Third Proportional to 100,456 and 221,360

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Solution

The third proportional to 100,456 and 221,360 is: 487,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,456 : 221,360 = 221,360 : x
  2. Step 2: Convert to fraction form
    100,456/221,360 = 221,360/x
  3. Step 3: Cross multiply
    100,456x = 221,360 × 221,360
  4. Step 4: Simplify right side
    100,456x = 49,000,249,600
  5. Step 5: Solve for x
    x = 49,000,249,600/100,456
  6. Step 6: Final answer
    x = 487,778.23

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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.