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Finding the Third Proportional to 505,478 and 760,269

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Solution

The third proportional to 505,478 and 760,269 is: 1,143,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,478 : 760,269 = 760,269 : x
  2. Step 2: Convert to fraction form
    505,478/760,269 = 760,269/x
  3. Step 3: Cross multiply
    505,478x = 760,269 × 760,269
  4. Step 4: Simplify right side
    505,478x = 578,008,952,361
  5. Step 5: Solve for x
    x = 578,008,952,361/505,478
  6. Step 6: Final answer
    x = 1,143,489.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.