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Finding the Third Proportional to 420.38 and 641.06

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Solution

The third proportional to 420.38 and 641.06 is: 977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.38 : 641.06 = 641.06 : x
  2. Step 2: Convert to fraction form
    420.38/641.06 = 641.06/x
  3. Step 3: Cross multiply
    420.38x = 641.06 × 641.06
  4. Step 4: Simplify right side
    420.38x = 410,961.13
  5. Step 5: Solve for x
    x = 410,961.13/420.38
  6. Step 6: Final answer
    x = 977.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.