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Finding the Third Proportional to 343,816 and 531,275

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Solution

The third proportional to 343,816 and 531,275 is: 820,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,816 : 531,275 = 531,275 : x
  2. Step 2: Convert to fraction form
    343,816/531,275 = 531,275/x
  3. Step 3: Cross multiply
    343,816x = 531,275 × 531,275
  4. Step 4: Simplify right side
    343,816x = 282,253,125,625
  5. Step 5: Solve for x
    x = 282,253,125,625/343,816
  6. Step 6: Final answer
    x = 820,942.38

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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.