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Finding the Third Proportional to 415.22 and 890.48

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Solution

The third proportional to 415.22 and 890.48 is: 1,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 890.48 = 890.48 : x
  2. Step 2: Convert to fraction form
    415.22/890.48 = 890.48/x
  3. Step 3: Cross multiply
    415.22x = 890.48 × 890.48
  4. Step 4: Simplify right side
    415.22x = 792,962.42
  5. Step 5: Solve for x
    x = 792,962.42/415.22
  6. Step 6: Final answer
    x = 1,909.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.