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Finding the Third Proportional to 423.35 and 911.88

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Solution

The third proportional to 423.35 and 911.88 is: 1,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.35 : 911.88 = 911.88 : x
  2. Step 2: Convert to fraction form
    423.35/911.88 = 911.88/x
  3. Step 3: Cross multiply
    423.35x = 911.88 × 911.88
  4. Step 4: Simplify right side
    423.35x = 831,530.26
  5. Step 5: Solve for x
    x = 831,530.26/423.35
  6. Step 6: Final answer
    x = 1,964.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.