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Finding the Third Proportional to 104,737 and 221,606

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Solution

The third proportional to 104,737 and 221,606 is: 468,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,737 : 221,606 = 221,606 : x
  2. Step 2: Convert to fraction form
    104,737/221,606 = 221,606/x
  3. Step 3: Cross multiply
    104,737x = 221,606 × 221,606
  4. Step 4: Simplify right side
    104,737x = 49,109,219,236
  5. Step 5: Solve for x
    x = 49,109,219,236/104,737
  6. Step 6: Final answer
    x = 468,881.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.