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Finding the Third Proportional to 199.97 and 368.93

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Solution

The third proportional to 199.97 and 368.93 is: 680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 368.93 = 368.93 : x
  2. Step 2: Convert to fraction form
    199.97/368.93 = 368.93/x
  3. Step 3: Cross multiply
    199.97x = 368.93 × 368.93
  4. Step 4: Simplify right side
    199.97x = 136,109.11
  5. Step 5: Solve for x
    x = 136,109.11/199.97
  6. Step 6: Final answer
    x = 680.65

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.