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Finding the Third Proportional to 197.13 and 429.13

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Solution

The third proportional to 197.13 and 429.13 is: 934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.13 : 429.13 = 429.13 : x
  2. Step 2: Convert to fraction form
    197.13/429.13 = 429.13/x
  3. Step 3: Cross multiply
    197.13x = 429.13 × 429.13
  4. Step 4: Simplify right side
    197.13x = 184,148.27
  5. Step 5: Solve for x
    x = 184,148.27/197.13
  6. Step 6: Final answer
    x = 934.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.