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Finding the Third Proportional to 2,509 and 3,763.50

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Solution

The third proportional to 2,509 and 3,763.50 is: 5,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509 : 3,763.50 = 3,763.50 : x
  2. Step 2: Convert to fraction form
    2,509/3,763.50 = 3,763.50/x
  3. Step 3: Cross multiply
    2,509x = 3,763.50 × 3,763.50
  4. Step 4: Simplify right side
    2,509x = 14,163,932.25
  5. Step 5: Solve for x
    x = 14,163,932.25/2,509
  6. Step 6: Final answer
    x = 5,645.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.