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Finding the Third Proportional to 397.45 and 608.02

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Solution

The third proportional to 397.45 and 608.02 is: 930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.45 : 608.02 = 608.02 : x
  2. Step 2: Convert to fraction form
    397.45/608.02 = 608.02/x
  3. Step 3: Cross multiply
    397.45x = 608.02 × 608.02
  4. Step 4: Simplify right side
    397.45x = 369,683.00
  5. Step 5: Solve for x
    x = 369,683.00/397.45
  6. Step 6: Final answer
    x = 930.13

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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.