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Finding the Third Proportional to 331,124 and 715,178

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Solution

The third proportional to 331,124 and 715,178 is: 1,544,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,124 : 715,178 = 715,178 : x
  2. Step 2: Convert to fraction form
    331,124/715,178 = 715,178/x
  3. Step 3: Cross multiply
    331,124x = 715,178 × 715,178
  4. Step 4: Simplify right side
    331,124x = 511,479,571,684
  5. Step 5: Solve for x
    x = 511,479,571,684/331,124
  6. Step 6: Final answer
    x = 1,544,676.83

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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.