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Finding the Third Proportional to 9,141.50 and 19,957.75

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Solution

The third proportional to 9,141.50 and 19,957.75 is: 43,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.50 : 19,957.75 = 19,957.75 : x
  2. Step 2: Convert to fraction form
    9,141.50/19,957.75 = 19,957.75/x
  3. Step 3: Cross multiply
    9,141.50x = 19,957.75 × 19,957.75
  4. Step 4: Simplify right side
    9,141.50x = 398,311,785.06
  5. Step 5: Solve for x
    x = 398,311,785.06/9,141.50
  6. Step 6: Final answer
    x = 43,571.82

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.