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Finding the Third Proportional to 221,524 and 343,653

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Solution

The third proportional to 221,524 and 343,653 is: 533,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,524 : 343,653 = 343,653 : x
  2. Step 2: Convert to fraction form
    221,524/343,653 = 343,653/x
  3. Step 3: Cross multiply
    221,524x = 343,653 × 343,653
  4. Step 4: Simplify right side
    221,524x = 118,097,384,409
  5. Step 5: Solve for x
    x = 118,097,384,409/221,524
  6. Step 6: Final answer
    x = 533,113.27

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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.