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Finding the Third Proportional to 101,311 and 220,460

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Solution

The third proportional to 101,311 and 220,460 is: 479,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,311 : 220,460 = 220,460 : x
  2. Step 2: Convert to fraction form
    101,311/220,460 = 220,460/x
  3. Step 3: Cross multiply
    101,311x = 220,460 × 220,460
  4. Step 4: Simplify right side
    101,311x = 48,602,611,600
  5. Step 5: Solve for x
    x = 48,602,611,600/101,311
  6. Step 6: Final answer
    x = 479,736.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.