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Finding the Third Proportional to 397.55 and 608.20

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Solution

The third proportional to 397.55 and 608.20 is: 930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.55 : 608.20 = 608.20 : x
  2. Step 2: Convert to fraction form
    397.55/608.20 = 608.20/x
  3. Step 3: Cross multiply
    397.55x = 608.20 × 608.20
  4. Step 4: Simplify right side
    397.55x = 369,911.04
  5. Step 5: Solve for x
    x = 369,911.04/397.55
  6. Step 6: Final answer
    x = 930.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.