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Finding the Third Proportional to 3,810 and 6,028.50

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Solution

The third proportional to 3,810 and 6,028.50 is: 9,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810 : 6,028.50 = 6,028.50 : x
  2. Step 2: Convert to fraction form
    3,810/6,028.50 = 6,028.50/x
  3. Step 3: Cross multiply
    3,810x = 6,028.50 × 6,028.50
  4. Step 4: Simplify right side
    3,810x = 36,342,812.25
  5. Step 5: Solve for x
    x = 36,342,812.25/3,810
  6. Step 6: Final answer
    x = 9,538.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.