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Finding the Third Proportional to 431,574 and 647,367

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Solution

The third proportional to 431,574 and 647,367 is: 971,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,574 : 647,367 = 647,367 : x
  2. Step 2: Convert to fraction form
    431,574/647,367 = 647,367/x
  3. Step 3: Cross multiply
    431,574x = 647,367 × 647,367
  4. Step 4: Simplify right side
    431,574x = 419,084,032,689
  5. Step 5: Solve for x
    x = 419,084,032,689/431,574
  6. Step 6: Final answer
    x = 971,059.50

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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.