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Finding the Third Proportional to 343,385 and 743,972

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Solution

The third proportional to 343,385 and 743,972 is: 1,611,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,385 : 743,972 = 743,972 : x
  2. Step 2: Convert to fraction form
    343,385/743,972 = 743,972/x
  3. Step 3: Cross multiply
    343,385x = 743,972 × 743,972
  4. Step 4: Simplify right side
    343,385x = 553,494,336,784
  5. Step 5: Solve for x
    x = 553,494,336,784/343,385
  6. Step 6: Final answer
    x = 1,611,876.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.