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Finding the Third Proportional to 257,959 and 534,144

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Solution

The third proportional to 257,959 and 534,144 is: 1,106,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,959 : 534,144 = 534,144 : x
  2. Step 2: Convert to fraction form
    257,959/534,144 = 534,144/x
  3. Step 3: Cross multiply
    257,959x = 534,144 × 534,144
  4. Step 4: Simplify right side
    257,959x = 285,309,812,736
  5. Step 5: Solve for x
    x = 285,309,812,736/257,959
  6. Step 6: Final answer
    x = 1,106,027.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.