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Finding the Third Proportional to 255,881 and 541,287

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Solution

The third proportional to 255,881 and 541,287 is: 1,145,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,881 : 541,287 = 541,287 : x
  2. Step 2: Convert to fraction form
    255,881/541,287 = 541,287/x
  3. Step 3: Cross multiply
    255,881x = 541,287 × 541,287
  4. Step 4: Simplify right side
    255,881x = 292,991,616,369
  5. Step 5: Solve for x
    x = 292,991,616,369/255,881
  6. Step 6: Final answer
    x = 1,145,030.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.