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Finding the Third Proportional to 619.73 and 926.65

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Solution

The third proportional to 619.73 and 926.65 is: 1,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.73 : 926.65 = 926.65 : x
  2. Step 2: Convert to fraction form
    619.73/926.65 = 926.65/x
  3. Step 3: Cross multiply
    619.73x = 926.65 × 926.65
  4. Step 4: Simplify right side
    619.73x = 858,677.33
  5. Step 5: Solve for x
    x = 858,677.33/619.73
  6. Step 6: Final answer
    x = 1,385.56

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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.