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Finding the Third Proportional to 577,285 and 859,771

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Solution

The third proportional to 577,285 and 859,771 is: 1,280,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,285 : 859,771 = 859,771 : x
  2. Step 2: Convert to fraction form
    577,285/859,771 = 859,771/x
  3. Step 3: Cross multiply
    577,285x = 859,771 × 859,771
  4. Step 4: Simplify right side
    577,285x = 739,206,172,441
  5. Step 5: Solve for x
    x = 739,206,172,441/577,285
  6. Step 6: Final answer
    x = 1,280,487.41

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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.