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Finding the Third Proportional to 343,992 and 531,324

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Solution

The third proportional to 343,992 and 531,324 is: 820,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,992 : 531,324 = 531,324 : x
  2. Step 2: Convert to fraction form
    343,992/531,324 = 531,324/x
  3. Step 3: Cross multiply
    343,992x = 531,324 × 531,324
  4. Step 4: Simplify right side
    343,992x = 282,305,192,976
  5. Step 5: Solve for x
    x = 282,305,192,976/343,992
  6. Step 6: Final answer
    x = 820,673.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.