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Finding the Third Proportional to 192.47 and 420.94

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Solution

The third proportional to 192.47 and 420.94 is: 920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.47 : 420.94 = 420.94 : x
  2. Step 2: Convert to fraction form
    192.47/420.94 = 420.94/x
  3. Step 3: Cross multiply
    192.47x = 420.94 × 420.94
  4. Step 4: Simplify right side
    192.47x = 177,188.38
  5. Step 5: Solve for x
    x = 177,188.38/192.47
  6. Step 6: Final answer
    x = 920.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.