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Finding the Third Proportional to 3,747 and 10,135.50

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Solution

The third proportional to 3,747 and 10,135.50 is: 27,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747 : 10,135.50 = 10,135.50 : x
  2. Step 2: Convert to fraction form
    3,747/10,135.50 = 10,135.50/x
  3. Step 3: Cross multiply
    3,747x = 10,135.50 × 10,135.50
  4. Step 4: Simplify right side
    3,747x = 102,728,360.25
  5. Step 5: Solve for x
    x = 102,728,360.25/3,747
  6. Step 6: Final answer
    x = 27,416.16

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.