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Finding the Third Proportional to 577,881 and 863,622

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Solution

The third proportional to 577,881 and 863,622 is: 1,290,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,881 : 863,622 = 863,622 : x
  2. Step 2: Convert to fraction form
    577,881/863,622 = 863,622/x
  3. Step 3: Cross multiply
    577,881x = 863,622 × 863,622
  4. Step 4: Simplify right side
    577,881x = 745,842,958,884
  5. Step 5: Solve for x
    x = 745,842,958,884/577,881
  6. Step 6: Final answer
    x = 1,290,651.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.