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Finding the Third Proportional to 353.43 and 775.20

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Solution

The third proportional to 353.43 and 775.20 is: 1,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.43 : 775.20 = 775.20 : x
  2. Step 2: Convert to fraction form
    353.43/775.20 = 775.20/x
  3. Step 3: Cross multiply
    353.43x = 775.20 × 775.20
  4. Step 4: Simplify right side
    353.43x = 600,927.77
  5. Step 5: Solve for x
    x = 600,927.77/353.43
  6. Step 6: Final answer
    x = 1,700.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.