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Finding the Third Proportional to 577,124 and 862,455

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Solution

The third proportional to 577,124 and 862,455 is: 1,288,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,124 : 862,455 = 862,455 : x
  2. Step 2: Convert to fraction form
    577,124/862,455 = 862,455/x
  3. Step 3: Cross multiply
    577,124x = 862,455 × 862,455
  4. Step 4: Simplify right side
    577,124x = 743,828,627,025
  5. Step 5: Solve for x
    x = 743,828,627,025/577,124
  6. Step 6: Final answer
    x = 1,288,854.09

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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.