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Finding the Third Proportional to 628.17 and 940.99

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Solution

The third proportional to 628.17 and 940.99 is: 1,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.17 : 940.99 = 940.99 : x
  2. Step 2: Convert to fraction form
    628.17/940.99 = 940.99/x
  3. Step 3: Cross multiply
    628.17x = 940.99 × 940.99
  4. Step 4: Simplify right side
    628.17x = 885,466.30
  5. Step 5: Solve for x
    x = 885,466.30/628.17
  6. Step 6: Final answer
    x = 1,409.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.