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Finding the Third Proportional to 343,800 and 531,252

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Solution

The third proportional to 343,800 and 531,252 is: 820,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,800 : 531,252 = 531,252 : x
  2. Step 2: Convert to fraction form
    343,800/531,252 = 531,252/x
  3. Step 3: Cross multiply
    343,800x = 531,252 × 531,252
  4. Step 4: Simplify right side
    343,800x = 282,228,687,504
  5. Step 5: Solve for x
    x = 282,228,687,504/343,800
  6. Step 6: Final answer
    x = 820,909.50

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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.