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Finding the Third Proportional to 353.79 and 777.61

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Solution

The third proportional to 353.79 and 777.61 is: 1,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.79 : 777.61 = 777.61 : x
  2. Step 2: Convert to fraction form
    353.79/777.61 = 777.61/x
  3. Step 3: Cross multiply
    353.79x = 777.61 × 777.61
  4. Step 4: Simplify right side
    353.79x = 604,676.34
  5. Step 5: Solve for x
    x = 604,676.34/353.79
  6. Step 6: Final answer
    x = 1,709.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.