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Finding the Third Proportional to 343,736 and 531,156

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Solution

The third proportional to 343,736 and 531,156 is: 820,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,736 : 531,156 = 531,156 : x
  2. Step 2: Convert to fraction form
    343,736/531,156 = 531,156/x
  3. Step 3: Cross multiply
    343,736x = 531,156 × 531,156
  4. Step 4: Simplify right side
    343,736x = 282,126,696,336
  5. Step 5: Solve for x
    x = 282,126,696,336/343,736
  6. Step 6: Final answer
    x = 820,765.64

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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.