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Finding the Third Proportional to 414.34 and 902.66

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Solution

The third proportional to 414.34 and 902.66 is: 1,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.34 : 902.66 = 902.66 : x
  2. Step 2: Convert to fraction form
    414.34/902.66 = 902.66/x
  3. Step 3: Cross multiply
    414.34x = 902.66 × 902.66
  4. Step 4: Simplify right side
    414.34x = 814,788.31
  5. Step 5: Solve for x
    x = 814,788.31/414.34
  6. Step 6: Final answer
    x = 1,966.45

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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.