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Finding the Third Proportional to 434.67 and 905.20

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Solution

The third proportional to 434.67 and 905.20 is: 1,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.67 : 905.20 = 905.20 : x
  2. Step 2: Convert to fraction form
    434.67/905.20 = 905.20/x
  3. Step 3: Cross multiply
    434.67x = 905.20 × 905.20
  4. Step 4: Simplify right side
    434.67x = 819,392.70
  5. Step 5: Solve for x
    x = 819,392.70/434.67
  6. Step 6: Final answer
    x = 1,885.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.