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Finding the Third Proportional to 434.11 and 667.90

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Solution

The third proportional to 434.11 and 667.90 is: 1,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.11 : 667.90 = 667.90 : x
  2. Step 2: Convert to fraction form
    434.11/667.90 = 667.90/x
  3. Step 3: Cross multiply
    434.11x = 667.90 × 667.90
  4. Step 4: Simplify right side
    434.11x = 446,088.32
  5. Step 5: Solve for x
    x = 446,088.32/434.11
  6. Step 6: Final answer
    x = 1,027.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.