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Finding the Third Proportional to 221,498 and 343,622

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Solution

The third proportional to 221,498 and 343,622 is: 533,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,498 : 343,622 = 343,622 : x
  2. Step 2: Convert to fraction form
    221,498/343,622 = 343,622/x
  3. Step 3: Cross multiply
    221,498x = 343,622 × 343,622
  4. Step 4: Simplify right side
    221,498x = 118,076,078,884
  5. Step 5: Solve for x
    x = 118,076,078,884/221,498
  6. Step 6: Final answer
    x = 533,079.66

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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.