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Finding the Third Proportional to 296,958 and 647,517

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Solution

The third proportional to 296,958 and 647,517 is: 1,411,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,958 : 647,517 = 647,517 : x
  2. Step 2: Convert to fraction form
    296,958/647,517 = 647,517/x
  3. Step 3: Cross multiply
    296,958x = 647,517 × 647,517
  4. Step 4: Simplify right side
    296,958x = 419,278,265,289
  5. Step 5: Solve for x
    x = 419,278,265,289/296,958
  6. Step 6: Final answer
    x = 1,411,911.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.