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Finding the Third Proportional to 431,531 and 647,296

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Solution

The third proportional to 431,531 and 647,296 is: 970,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,531 : 647,296 = 647,296 : x
  2. Step 2: Convert to fraction form
    431,531/647,296 = 647,296/x
  3. Step 3: Cross multiply
    431,531x = 647,296 × 647,296
  4. Step 4: Simplify right side
    431,531x = 418,992,111,616
  5. Step 5: Solve for x
    x = 418,992,111,616/431,531
  6. Step 6: Final answer
    x = 970,943.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.