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Finding the Third Proportional to 431,574 and 647,368

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Solution

The third proportional to 431,574 and 647,368 is: 971,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,574 : 647,368 = 647,368 : x
  2. Step 2: Convert to fraction form
    431,574/647,368 = 647,368/x
  3. Step 3: Cross multiply
    431,574x = 647,368 × 647,368
  4. Step 4: Simplify right side
    431,574x = 419,085,327,424
  5. Step 5: Solve for x
    x = 419,085,327,424/431,574
  6. Step 6: Final answer
    x = 971,062.50

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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.