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Finding the Third Proportional to 101,887 and 221,280

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Solution

The third proportional to 101,887 and 221,280 is: 480,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,887 : 221,280 = 221,280 : x
  2. Step 2: Convert to fraction form
    101,887/221,280 = 221,280/x
  3. Step 3: Cross multiply
    101,887x = 221,280 × 221,280
  4. Step 4: Simplify right side
    101,887x = 48,964,838,400
  5. Step 5: Solve for x
    x = 48,964,838,400/101,887
  6. Step 6: Final answer
    x = 480,579.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.