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Finding the Third Proportional to 272,616 and 558,831

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Solution

The third proportional to 272,616 and 558,831 is: 1,145,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,616 : 558,831 = 558,831 : x
  2. Step 2: Convert to fraction form
    272,616/558,831 = 558,831/x
  3. Step 3: Cross multiply
    272,616x = 558,831 × 558,831
  4. Step 4: Simplify right side
    272,616x = 312,292,086,561
  5. Step 5: Solve for x
    x = 312,292,086,561/272,616
  6. Step 6: Final answer
    x = 1,145,538.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.