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Finding the Third Proportional to 343,990 and 531,322

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Solution

The third proportional to 343,990 and 531,322 is: 820,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,990 : 531,322 = 531,322 : x
  2. Step 2: Convert to fraction form
    343,990/531,322 = 531,322/x
  3. Step 3: Cross multiply
    343,990x = 531,322 × 531,322
  4. Step 4: Simplify right side
    343,990x = 282,303,067,684
  5. Step 5: Solve for x
    x = 282,303,067,684/343,990
  6. Step 6: Final answer
    x = 820,672.31

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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.