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Finding the Third Proportional to 331,504 and 715,424

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Solution

The third proportional to 331,504 and 715,424 is: 1,543,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,504 : 715,424 = 715,424 : x
  2. Step 2: Convert to fraction form
    331,504/715,424 = 715,424/x
  3. Step 3: Cross multiply
    331,504x = 715,424 × 715,424
  4. Step 4: Simplify right side
    331,504x = 511,831,499,776
  5. Step 5: Solve for x
    x = 511,831,499,776/331,504
  6. Step 6: Final answer
    x = 1,543,967.79

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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.