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Finding the Third Proportional to 406.69 and 637.03

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Solution

The third proportional to 406.69 and 637.03 is: 997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 637.03 = 637.03 : x
  2. Step 2: Convert to fraction form
    406.69/637.03 = 637.03/x
  3. Step 3: Cross multiply
    406.69x = 637.03 × 637.03
  4. Step 4: Simplify right side
    406.69x = 405,808.81
  5. Step 5: Solve for x
    x = 405,808.81/406.69
  6. Step 6: Final answer
    x = 997.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.