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Finding the Third Proportional to 307,092 and 647,796

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Solution

The third proportional to 307,092 and 647,796 is: 1,366,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,092 : 647,796 = 647,796 : x
  2. Step 2: Convert to fraction form
    307,092/647,796 = 647,796/x
  3. Step 3: Cross multiply
    307,092x = 647,796 × 647,796
  4. Step 4: Simplify right side
    307,092x = 419,639,657,616
  5. Step 5: Solve for x
    x = 419,639,657,616/307,092
  6. Step 6: Final answer
    x = 1,366,494.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.