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Finding the Third Proportional to 318,066 and 691,355

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Solution

The third proportional to 318,066 and 691,355 is: 1,502,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,066 : 691,355 = 691,355 : x
  2. Step 2: Convert to fraction form
    318,066/691,355 = 691,355/x
  3. Step 3: Cross multiply
    318,066x = 691,355 × 691,355
  4. Step 4: Simplify right side
    318,066x = 477,971,736,025
  5. Step 5: Solve for x
    x = 477,971,736,025/318,066
  6. Step 6: Final answer
    x = 1,502,743.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.