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Finding the Third Proportional to 421.93 and 631.23

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Solution

The third proportional to 421.93 and 631.23 is: 944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.93 : 631.23 = 631.23 : x
  2. Step 2: Convert to fraction form
    421.93/631.23 = 631.23/x
  3. Step 3: Cross multiply
    421.93x = 631.23 × 631.23
  4. Step 4: Simplify right side
    421.93x = 398,451.90
  5. Step 5: Solve for x
    x = 398,451.90/421.93
  6. Step 6: Final answer
    x = 944.36

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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.