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Finding the Third Proportional to 628.23 and 901.56

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Solution

The third proportional to 628.23 and 901.56 is: 1,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.23 : 901.56 = 901.56 : x
  2. Step 2: Convert to fraction form
    628.23/901.56 = 901.56/x
  3. Step 3: Cross multiply
    628.23x = 901.56 × 901.56
  4. Step 4: Simplify right side
    628.23x = 812,814.94
  5. Step 5: Solve for x
    x = 812,814.94/628.23
  6. Step 6: Final answer
    x = 1,293.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.