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Finding the Third Proportional to 486,188 and 769,238

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Solution

The third proportional to 486,188 and 769,238 is: 1,217,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,188 : 769,238 = 769,238 : x
  2. Step 2: Convert to fraction form
    486,188/769,238 = 769,238/x
  3. Step 3: Cross multiply
    486,188x = 769,238 × 769,238
  4. Step 4: Simplify right side
    486,188x = 591,727,100,644
  5. Step 5: Solve for x
    x = 591,727,100,644/486,188
  6. Step 6: Final answer
    x = 1,217,074.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.