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Finding the Third Proportional to 318,837 and 476,553.75

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Solution

The third proportional to 318,837 and 476,553.75 is: 712,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,837 : 476,553.75 = 476,553.75 : x
  2. Step 2: Convert to fraction form
    318,837/476,553.75 = 476,553.75/x
  3. Step 3: Cross multiply
    318,837x = 476,553.75 × 476,553.75
  4. Step 4: Simplify right side
    318,837x = 227,103,476,639.06
  5. Step 5: Solve for x
    x = 227,103,476,639.06/318,837
  6. Step 6: Final answer
    x = 712,287.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.