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Finding the Third Proportional to 190.48 and 415.76

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Solution

The third proportional to 190.48 and 415.76 is: 907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.48 : 415.76 = 415.76 : x
  2. Step 2: Convert to fraction form
    190.48/415.76 = 415.76/x
  3. Step 3: Cross multiply
    190.48x = 415.76 × 415.76
  4. Step 4: Simplify right side
    190.48x = 172,854.56
  5. Step 5: Solve for x
    x = 172,854.56/190.48
  6. Step 6: Final answer
    x = 907.48

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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.