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Finding the Third Proportional to 411.64 and 914.41

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Solution

The third proportional to 411.64 and 914.41 is: 2,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 914.41 = 914.41 : x
  2. Step 2: Convert to fraction form
    411.64/914.41 = 914.41/x
  3. Step 3: Cross multiply
    411.64x = 914.41 × 914.41
  4. Step 4: Simplify right side
    411.64x = 836,153.08
  5. Step 5: Solve for x
    x = 836,153.08/411.64
  6. Step 6: Final answer
    x = 2,031.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.