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Finding the Third Proportional to 490,469 and 665,719

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Solution

The third proportional to 490,469 and 665,719 is: 903,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,469 : 665,719 = 665,719 : x
  2. Step 2: Convert to fraction form
    490,469/665,719 = 665,719/x
  3. Step 3: Cross multiply
    490,469x = 665,719 × 665,719
  4. Step 4: Simplify right side
    490,469x = 443,181,786,961
  5. Step 5: Solve for x
    x = 443,181,786,961/490,469
  6. Step 6: Final answer
    x = 903,587.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.