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Finding the Third Proportional to 7,936.50 and 10,437

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Solution

The third proportional to 7,936.50 and 10,437 is: 13,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.50 : 10,437 = 10,437 : x
  2. Step 2: Convert to fraction form
    7,936.50/10,437 = 10,437/x
  3. Step 3: Cross multiply
    7,936.50x = 10,437 × 10,437
  4. Step 4: Simplify right side
    7,936.50x = 108,930,969
  5. Step 5: Solve for x
    x = 108,930,969/7,936.50
  6. Step 6: Final answer
    x = 13,725.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.