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Finding the Third Proportional to 331,172 and 737,290

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Solution

The third proportional to 331,172 and 737,290 is: 1,641,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,172 : 737,290 = 737,290 : x
  2. Step 2: Convert to fraction form
    331,172/737,290 = 737,290/x
  3. Step 3: Cross multiply
    331,172x = 737,290 × 737,290
  4. Step 4: Simplify right side
    331,172x = 543,596,544,100
  5. Step 5: Solve for x
    x = 543,596,544,100/331,172
  6. Step 6: Final answer
    x = 1,641,432.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.