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Finding the Third Proportional to 393,923 and 611,118

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Solution

The third proportional to 393,923 and 611,118 is: 948,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,923 : 611,118 = 611,118 : x
  2. Step 2: Convert to fraction form
    393,923/611,118 = 611,118/x
  3. Step 3: Cross multiply
    393,923x = 611,118 × 611,118
  4. Step 4: Simplify right side
    393,923x = 373,465,209,924
  5. Step 5: Solve for x
    x = 373,465,209,924/393,923
  6. Step 6: Final answer
    x = 948,066.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.