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Finding the Third Proportional to 505,442 and 760,215

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Solution

The third proportional to 505,442 and 760,215 is: 1,143,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,442 : 760,215 = 760,215 : x
  2. Step 2: Convert to fraction form
    505,442/760,215 = 760,215/x
  3. Step 3: Cross multiply
    505,442x = 760,215 × 760,215
  4. Step 4: Simplify right side
    505,442x = 577,926,846,225
  5. Step 5: Solve for x
    x = 577,926,846,225/505,442
  6. Step 6: Final answer
    x = 1,143,408.83

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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.