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Finding the Third Proportional to 343,383 and 743,968

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Solution

The third proportional to 343,383 and 743,968 is: 1,611,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,383 : 743,968 = 743,968 : x
  2. Step 2: Convert to fraction form
    343,383/743,968 = 743,968/x
  3. Step 3: Cross multiply
    343,383x = 743,968 × 743,968
  4. Step 4: Simplify right side
    343,383x = 553,488,385,024
  5. Step 5: Solve for x
    x = 553,488,385,024/343,383
  6. Step 6: Final answer
    x = 1,611,868.92

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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.