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Finding the Third Proportional to 434.18 and 954.91

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Solution

The third proportional to 434.18 and 954.91 is: 2,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.18 : 954.91 = 954.91 : x
  2. Step 2: Convert to fraction form
    434.18/954.91 = 954.91/x
  3. Step 3: Cross multiply
    434.18x = 954.91 × 954.91
  4. Step 4: Simplify right side
    434.18x = 911,860.87
  5. Step 5: Solve for x
    x = 911,860.87/434.18
  6. Step 6: Final answer
    x = 2,100.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.