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Finding the Third Proportional to 13,209.75 and 15,950.25

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Solution

The third proportional to 13,209.75 and 15,950.25 is: 19,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.75 : 15,950.25 = 15,950.25 : x
  2. Step 2: Convert to fraction form
    13,209.75/15,950.25 = 15,950.25/x
  3. Step 3: Cross multiply
    13,209.75x = 15,950.25 × 15,950.25
  4. Step 4: Simplify right side
    13,209.75x = 254,410,475.06
  5. Step 5: Solve for x
    x = 254,410,475.06/13,209.75
  6. Step 6: Final answer
    x = 19,259.30

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.