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Finding the Third Proportional to 439.88 and 947.67

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Solution

The third proportional to 439.88 and 947.67 is: 2,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.88 : 947.67 = 947.67 : x
  2. Step 2: Convert to fraction form
    439.88/947.67 = 947.67/x
  3. Step 3: Cross multiply
    439.88x = 947.67 × 947.67
  4. Step 4: Simplify right side
    439.88x = 898,081.98
  5. Step 5: Solve for x
    x = 898,081.98/439.88
  6. Step 6: Final answer
    x = 2,041.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.