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Finding the Third Proportional to 343,932 and 531,450

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Solution

The third proportional to 343,932 and 531,450 is: 821,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,932 : 531,450 = 531,450 : x
  2. Step 2: Convert to fraction form
    343,932/531,450 = 531,450/x
  3. Step 3: Cross multiply
    343,932x = 531,450 × 531,450
  4. Step 4: Simplify right side
    343,932x = 282,439,102,500
  5. Step 5: Solve for x
    x = 282,439,102,500/343,932
  6. Step 6: Final answer
    x = 821,206.23

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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.