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Finding the Third Proportional to 434.25 and 945.56

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Solution

The third proportional to 434.25 and 945.56 is: 2,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.25 : 945.56 = 945.56 : x
  2. Step 2: Convert to fraction form
    434.25/945.56 = 945.56/x
  3. Step 3: Cross multiply
    434.25x = 945.56 × 945.56
  4. Step 4: Simplify right side
    434.25x = 894,088.44
  5. Step 5: Solve for x
    x = 894,088.44/434.25
  6. Step 6: Final answer
    x = 2,058.93

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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.