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Finding the Third Proportional to 331,353 and 715,041

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Solution

The third proportional to 331,353 and 715,041 is: 1,543,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,353 : 715,041 = 715,041 : x
  2. Step 2: Convert to fraction form
    331,353/715,041 = 715,041/x
  3. Step 3: Cross multiply
    331,353x = 715,041 × 715,041
  4. Step 4: Simplify right side
    331,353x = 511,283,631,681
  5. Step 5: Solve for x
    x = 511,283,631,681/331,353
  6. Step 6: Final answer
    x = 1,543,017.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.