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Finding the Third Proportional to 412.72 and 619.13

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Solution

The third proportional to 412.72 and 619.13 is: 928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.72 : 619.13 = 619.13 : x
  2. Step 2: Convert to fraction form
    412.72/619.13 = 619.13/x
  3. Step 3: Cross multiply
    412.72x = 619.13 × 619.13
  4. Step 4: Simplify right side
    412.72x = 383,315.77
  5. Step 5: Solve for x
    x = 383,315.77/412.72
  6. Step 6: Final answer
    x = 928.76

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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.