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Finding the Third Proportional to 1,938.30 and 4,149.98

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Solution

The third proportional to 1,938.30 and 4,149.98 is: 8,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.30 : 4,149.98 = 4,149.98 : x
  2. Step 2: Convert to fraction form
    1,938.30/4,149.98 = 4,149.98/x
  3. Step 3: Cross multiply
    1,938.30x = 4,149.98 × 4,149.98
  4. Step 4: Simplify right side
    1,938.30x = 17,222,370.31
  5. Step 5: Solve for x
    x = 17,222,370.31/1,938.30
  6. Step 6: Final answer
    x = 8,885.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.