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Finding the Third Proportional to 333,400 and 476,421

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Solution

The third proportional to 333,400 and 476,421 is: 680,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,400 : 476,421 = 476,421 : x
  2. Step 2: Convert to fraction form
    333,400/476,421 = 476,421/x
  3. Step 3: Cross multiply
    333,400x = 476,421 × 476,421
  4. Step 4: Simplify right side
    333,400x = 226,976,969,241
  5. Step 5: Solve for x
    x = 226,976,969,241/333,400
  6. Step 6: Final answer
    x = 680,794.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.