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Finding the Third Proportional to 343,740 and 531,162

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Solution

The third proportional to 343,740 and 531,162 is: 820,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,740 : 531,162 = 531,162 : x
  2. Step 2: Convert to fraction form
    343,740/531,162 = 531,162/x
  3. Step 3: Cross multiply
    343,740x = 531,162 × 531,162
  4. Step 4: Simplify right side
    343,740x = 282,133,070,244
  5. Step 5: Solve for x
    x = 282,133,070,244/343,740
  6. Step 6: Final answer
    x = 820,774.63

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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.