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Finding the Third Proportional to 386.17 and 570.96

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Solution

The third proportional to 386.17 and 570.96 is: 844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.17 : 570.96 = 570.96 : x
  2. Step 2: Convert to fraction form
    386.17/570.96 = 570.96/x
  3. Step 3: Cross multiply
    386.17x = 570.96 × 570.96
  4. Step 4: Simplify right side
    386.17x = 325,989.70
  5. Step 5: Solve for x
    x = 325,989.70/386.17
  6. Step 6: Final answer
    x = 844.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.