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Finding the Third Proportional to 462.38 and 911.81

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Solution

The third proportional to 462.38 and 911.81 is: 1,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 911.81 = 911.81 : x
  2. Step 2: Convert to fraction form
    462.38/911.81 = 911.81/x
  3. Step 3: Cross multiply
    462.38x = 911.81 × 911.81
  4. Step 4: Simplify right side
    462.38x = 831,402.04
  5. Step 5: Solve for x
    x = 831,402.04/462.38
  6. Step 6: Final answer
    x = 1,798.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.