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Finding the Third Proportional to 331,322 and 715,538

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Solution

The third proportional to 331,322 and 715,538 is: 1,545,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,322 : 715,538 = 715,538 : x
  2. Step 2: Convert to fraction form
    331,322/715,538 = 715,538/x
  3. Step 3: Cross multiply
    331,322x = 715,538 × 715,538
  4. Step 4: Simplify right side
    331,322x = 511,994,629,444
  5. Step 5: Solve for x
    x = 511,994,629,444/331,322
  6. Step 6: Final answer
    x = 1,545,308.28

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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.