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Finding the Third Proportional to 425,616 and 647,656

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Solution

The third proportional to 425,616 and 647,656 is: 985,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,616 : 647,656 = 647,656 : x
  2. Step 2: Convert to fraction form
    425,616/647,656 = 647,656/x
  3. Step 3: Cross multiply
    425,616x = 647,656 × 647,656
  4. Step 4: Simplify right side
    425,616x = 419,458,294,336
  5. Step 5: Solve for x
    x = 419,458,294,336/425,616
  6. Step 6: Final answer
    x = 985,532.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.