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Finding the Third Proportional to 221,822 and 344,111

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Solution

The third proportional to 221,822 and 344,111 is: 533,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,822 : 344,111 = 344,111 : x
  2. Step 2: Convert to fraction form
    221,822/344,111 = 344,111/x
  3. Step 3: Cross multiply
    221,822x = 344,111 × 344,111
  4. Step 4: Simplify right side
    221,822x = 118,412,380,321
  5. Step 5: Solve for x
    x = 118,412,380,321/221,822
  6. Step 6: Final answer
    x = 533,817.12

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Why These Related Problems?

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