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Finding the Third Proportional to 13,378.50 and 30,975.75

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Solution

The third proportional to 13,378.50 and 30,975.75 is: 71,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.50 : 30,975.75 = 30,975.75 : x
  2. Step 2: Convert to fraction form
    13,378.50/30,975.75 = 30,975.75/x
  3. Step 3: Cross multiply
    13,378.50x = 30,975.75 × 30,975.75
  4. Step 4: Simplify right side
    13,378.50x = 959,497,088.06
  5. Step 5: Solve for x
    x = 959,497,088.06/13,378.50
  6. Step 6: Final answer
    x = 71,719.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.