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Finding the Third Proportional to 421.59 and 633.09

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Solution

The third proportional to 421.59 and 633.09 is: 950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.59 : 633.09 = 633.09 : x
  2. Step 2: Convert to fraction form
    421.59/633.09 = 633.09/x
  3. Step 3: Cross multiply
    421.59x = 633.09 × 633.09
  4. Step 4: Simplify right side
    421.59x = 400,807.70
  5. Step 5: Solve for x
    x = 400,807.70/421.59
  6. Step 6: Final answer
    x = 950.70

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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.