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Finding the Third Proportional to 331,118 and 715,166

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Solution

The third proportional to 331,118 and 715,166 is: 1,544,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,118 : 715,166 = 715,166 : x
  2. Step 2: Convert to fraction form
    331,118/715,166 = 715,166/x
  3. Step 3: Cross multiply
    331,118x = 715,166 × 715,166
  4. Step 4: Simplify right side
    331,118x = 511,462,407,556
  5. Step 5: Solve for x
    x = 511,462,407,556/331,118
  6. Step 6: Final answer
    x = 1,544,652.99

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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.