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Finding the Third Proportional to 437.06 and 641.04

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Solution

The third proportional to 437.06 and 641.04 is: 940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.06 : 641.04 = 641.04 : x
  2. Step 2: Convert to fraction form
    437.06/641.04 = 641.04/x
  3. Step 3: Cross multiply
    437.06x = 641.04 × 641.04
  4. Step 4: Simplify right side
    437.06x = 410,931.08
  5. Step 5: Solve for x
    x = 410,931.08/437.06
  6. Step 6: Final answer
    x = 940.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.