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Finding the Third Proportional to 161,446 and 221,621

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Solution

The third proportional to 161,446 and 221,621 is: 304,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,446 : 221,621 = 221,621 : x
  2. Step 2: Convert to fraction form
    161,446/221,621 = 221,621/x
  3. Step 3: Cross multiply
    161,446x = 221,621 × 221,621
  4. Step 4: Simplify right side
    161,446x = 49,115,867,641
  5. Step 5: Solve for x
    x = 49,115,867,641/161,446
  6. Step 6: Final answer
    x = 304,224.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.