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Finding the Third Proportional to 6,000.75 and 9,493.88

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Solution

The third proportional to 6,000.75 and 9,493.88 is: 15,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.75 : 9,493.88 = 9,493.88 : x
  2. Step 2: Convert to fraction form
    6,000.75/9,493.88 = 9,493.88/x
  3. Step 3: Cross multiply
    6,000.75x = 9,493.88 × 9,493.88
  4. Step 4: Simplify right side
    6,000.75x = 90,133,662.52
  5. Step 5: Solve for x
    x = 90,133,662.52/6,000.75
  6. Step 6: Final answer
    x = 15,020.40

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1.5x scale

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.