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Finding the Third Proportional to 742.70 and 1,556.96

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Solution

The third proportional to 742.70 and 1,556.96 is: 3,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.70 : 1,556.96 = 1,556.96 : x
  2. Step 2: Convert to fraction form
    742.70/1,556.96 = 1,556.96/x
  3. Step 3: Cross multiply
    742.70x = 1,556.96 × 1,556.96
  4. Step 4: Simplify right side
    742.70x = 2,424,112.16
  5. Step 5: Solve for x
    x = 2,424,112.16/742.70
  6. Step 6: Final answer
    x = 3,263.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.