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Finding the Third Proportional to 403.17 and 641.53

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Solution

The third proportional to 403.17 and 641.53 is: 1,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.17 : 641.53 = 641.53 : x
  2. Step 2: Convert to fraction form
    403.17/641.53 = 641.53/x
  3. Step 3: Cross multiply
    403.17x = 641.53 × 641.53
  4. Step 4: Simplify right side
    403.17x = 411,562.34
  5. Step 5: Solve for x
    x = 411,562.34/403.17
  6. Step 6: Final answer
    x = 1,020.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.