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Finding the Third Proportional to 2,916.42 and 6,399.84

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Solution

The third proportional to 2,916.42 and 6,399.84 is: 14,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.42 : 6,399.84 = 6,399.84 : x
  2. Step 2: Convert to fraction form
    2,916.42/6,399.84 = 6,399.84/x
  3. Step 3: Cross multiply
    2,916.42x = 6,399.84 × 6,399.84
  4. Step 4: Simplify right side
    2,916.42x = 40,958,000.02
  5. Step 5: Solve for x
    x = 40,958,000.02/2,916.42
  6. Step 6: Final answer
    x = 14,043.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.