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Finding the Third Proportional to 352,553.50 and 687,395

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Solution

The third proportional to 352,553.50 and 687,395 is: 1,340,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,553.50 : 687,395 = 687,395 : x
  2. Step 2: Convert to fraction form
    352,553.50/687,395 = 687,395/x
  3. Step 3: Cross multiply
    352,553.50x = 687,395 × 687,395
  4. Step 4: Simplify right side
    352,553.50x = 472,511,886,025
  5. Step 5: Solve for x
    x = 472,511,886,025/352,553.50
  6. Step 6: Final answer
    x = 1,340,255.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.