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Finding the Third Proportional to 197.69 and 424.63

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Solution

The third proportional to 197.69 and 424.63 is: 912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 424.63 = 424.63 : x
  2. Step 2: Convert to fraction form
    197.69/424.63 = 424.63/x
  3. Step 3: Cross multiply
    197.69x = 424.63 × 424.63
  4. Step 4: Simplify right side
    197.69x = 180,306.39
  5. Step 5: Solve for x
    x = 180,306.39/197.69
  6. Step 6: Final answer
    x = 912.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.