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Finding the Third Proportional to 343,728 and 531,144

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Solution

The third proportional to 343,728 and 531,144 is: 820,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,728 : 531,144 = 531,144 : x
  2. Step 2: Convert to fraction form
    343,728/531,144 = 531,144/x
  3. Step 3: Cross multiply
    343,728x = 531,144 × 531,144
  4. Step 4: Simplify right side
    343,728x = 282,113,948,736
  5. Step 5: Solve for x
    x = 282,113,948,736/343,728
  6. Step 6: Final answer
    x = 820,747.65

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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.