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Finding the Third Proportional to 368.96 and 515.83

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Solution

The third proportional to 368.96 and 515.83 is: 721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.96 : 515.83 = 515.83 : x
  2. Step 2: Convert to fraction form
    368.96/515.83 = 515.83/x
  3. Step 3: Cross multiply
    368.96x = 515.83 × 515.83
  4. Step 4: Simplify right side
    368.96x = 266,080.67
  5. Step 5: Solve for x
    x = 266,080.67/368.96
  6. Step 6: Final answer
    x = 721.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.