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Finding the Third Proportional to 3,710 and 5,035.50

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Solution

The third proportional to 3,710 and 5,035.50 is: 6,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710 : 5,035.50 = 5,035.50 : x
  2. Step 2: Convert to fraction form
    3,710/5,035.50 = 5,035.50/x
  3. Step 3: Cross multiply
    3,710x = 5,035.50 × 5,035.50
  4. Step 4: Simplify right side
    3,710x = 25,356,260.25
  5. Step 5: Solve for x
    x = 25,356,260.25/3,710
  6. Step 6: Final answer
    x = 6,834.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.