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Finding the Third Proportional to 291,794 and 440,715

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Solution

The third proportional to 291,794 and 440,715 is: 665,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,794 : 440,715 = 440,715 : x
  2. Step 2: Convert to fraction form
    291,794/440,715 = 440,715/x
  3. Step 3: Cross multiply
    291,794x = 440,715 × 440,715
  4. Step 4: Simplify right side
    291,794x = 194,229,711,225
  5. Step 5: Solve for x
    x = 194,229,711,225/291,794
  6. Step 6: Final answer
    x = 665,639.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.