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Finding the Third Proportional to 619.45 and 662.91

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Solution

The third proportional to 619.45 and 662.91 is: 709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.45 : 662.91 = 662.91 : x
  2. Step 2: Convert to fraction form
    619.45/662.91 = 662.91/x
  3. Step 3: Cross multiply
    619.45x = 662.91 × 662.91
  4. Step 4: Simplify right side
    619.45x = 439,444.70
  5. Step 5: Solve for x
    x = 439,444.70/619.45
  6. Step 6: Final answer
    x = 709.41

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.