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Finding the Third Proportional to 221,446 and 343,827

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Solution

The third proportional to 221,446 and 343,827 is: 533,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,446 : 343,827 = 343,827 : x
  2. Step 2: Convert to fraction form
    221,446/343,827 = 343,827/x
  3. Step 3: Cross multiply
    221,446x = 343,827 × 343,827
  4. Step 4: Simplify right side
    221,446x = 118,217,005,929
  5. Step 5: Solve for x
    x = 118,217,005,929/221,446
  6. Step 6: Final answer
    x = 533,841.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.