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Finding the Third Proportional to 401.91 and 643.92

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Solution

The third proportional to 401.91 and 643.92 is: 1,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.91 : 643.92 = 643.92 : x
  2. Step 2: Convert to fraction form
    401.91/643.92 = 643.92/x
  3. Step 3: Cross multiply
    401.91x = 643.92 × 643.92
  4. Step 4: Simplify right side
    401.91x = 414,635.38
  5. Step 5: Solve for x
    x = 414,635.38/401.91
  6. Step 6: Final answer
    x = 1,031.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.