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Finding the Third Proportional to 328,758.75 and 706,679.44

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Solution

The third proportional to 328,758.75 and 706,679.44 is: 1,519,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,758.75 : 706,679.44 = 706,679.44 : x
  2. Step 2: Convert to fraction form
    328,758.75/706,679.44 = 706,679.44/x
  3. Step 3: Cross multiply
    328,758.75x = 706,679.44 × 706,679.44
  4. Step 4: Simplify right side
    328,758.75x = 499,395,827,385.32
  5. Step 5: Solve for x
    x = 499,395,827,385.32/328,758.75
  6. Step 6: Final answer
    x = 1,519,034.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.