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Finding the Third Proportional to 421.94 and 631.22

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Solution

The third proportional to 421.94 and 631.22 is: 944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 631.22 = 631.22 : x
  2. Step 2: Convert to fraction form
    421.94/631.22 = 631.22/x
  3. Step 3: Cross multiply
    421.94x = 631.22 × 631.22
  4. Step 4: Simplify right side
    421.94x = 398,437.11
  5. Step 5: Solve for x
    x = 398,437.11/421.94
  6. Step 6: Final answer
    x = 944.30

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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.