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Finding the Third Proportional to 415.76 and 908.40

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Solution

The third proportional to 415.76 and 908.40 is: 1,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 908.40 = 908.40 : x
  2. Step 2: Convert to fraction form
    415.76/908.40 = 908.40/x
  3. Step 3: Cross multiply
    415.76x = 908.40 × 908.40
  4. Step 4: Simplify right side
    415.76x = 825,194.82
  5. Step 5: Solve for x
    x = 825,194.82/415.76
  6. Step 6: Final answer
    x = 1,984.80

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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.