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Finding the Third Proportional to 254,743 and 539,831

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Solution

The third proportional to 254,743 and 539,831 is: 1,143,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,743 : 539,831 = 539,831 : x
  2. Step 2: Convert to fraction form
    254,743/539,831 = 539,831/x
  3. Step 3: Cross multiply
    254,743x = 539,831 × 539,831
  4. Step 4: Simplify right side
    254,743x = 291,417,508,561
  5. Step 5: Solve for x
    x = 291,417,508,561/254,743
  6. Step 6: Final answer
    x = 1,143,966.70

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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.