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Finding the Third Proportional to 331,102.69 and 715,128.75

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Solution

The third proportional to 331,102.69 and 715,128.75 is: 1,544,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,102.69 : 715,128.75 = 715,128.75 : x
  2. Step 2: Convert to fraction form
    331,102.69/715,128.75 = 715,128.75/x
  3. Step 3: Cross multiply
    331,102.69x = 715,128.75 × 715,128.75
  4. Step 4: Simplify right side
    331,102.69x = 511,409,129,076.56
  5. Step 5: Solve for x
    x = 511,409,129,076.56/331,102.69
  6. Step 6: Final answer
    x = 1,544,563.51

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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.