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Finding the Third Proportional to 424.69 and 633.09

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Solution

The third proportional to 424.69 and 633.09 is: 943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.69 : 633.09 = 633.09 : x
  2. Step 2: Convert to fraction form
    424.69/633.09 = 633.09/x
  3. Step 3: Cross multiply
    424.69x = 633.09 × 633.09
  4. Step 4: Simplify right side
    424.69x = 400,807.70
  5. Step 5: Solve for x
    x = 400,807.70/424.69
  6. Step 6: Final answer
    x = 943.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.