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Finding the Third Proportional to 393.45 and 612.01

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Solution

The third proportional to 393.45 and 612.01 is: 951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.45 : 612.01 = 612.01 : x
  2. Step 2: Convert to fraction form
    393.45/612.01 = 612.01/x
  3. Step 3: Cross multiply
    393.45x = 612.01 × 612.01
  4. Step 4: Simplify right side
    393.45x = 374,554.76
  5. Step 5: Solve for x
    x = 374,554.76/393.45
  6. Step 6: Final answer
    x = 951.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.