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Finding the Third Proportional to 328.78 and 463.43

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Solution

The third proportional to 328.78 and 463.43 is: 653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 463.43 = 463.43 : x
  2. Step 2: Convert to fraction form
    328.78/463.43 = 463.43/x
  3. Step 3: Cross multiply
    328.78x = 463.43 × 463.43
  4. Step 4: Simplify right side
    328.78x = 214,767.08
  5. Step 5: Solve for x
    x = 214,767.08/328.78
  6. Step 6: Final answer
    x = 653.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.