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Finding the Third Proportional to 577,120 and 862,449

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Solution

The third proportional to 577,120 and 862,449 is: 1,288,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,120 : 862,449 = 862,449 : x
  2. Step 2: Convert to fraction form
    577,120/862,449 = 862,449/x
  3. Step 3: Cross multiply
    577,120x = 862,449 × 862,449
  4. Step 4: Simplify right side
    577,120x = 743,818,277,601
  5. Step 5: Solve for x
    x = 743,818,277,601/577,120
  6. Step 6: Final answer
    x = 1,288,845.09

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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.