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Finding the Third Proportional to 945.42 and 1,916.47

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Solution

The third proportional to 945.42 and 1,916.47 is: 3,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.42 : 1,916.47 = 1,916.47 : x
  2. Step 2: Convert to fraction form
    945.42/1,916.47 = 1,916.47/x
  3. Step 3: Cross multiply
    945.42x = 1,916.47 × 1,916.47
  4. Step 4: Simplify right side
    945.42x = 3,672,867.44
  5. Step 5: Solve for x
    x = 3,672,867.44/945.42
  6. Step 6: Final answer
    x = 3,884.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.