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Finding the Third Proportional to 5,946 and 7,027.50

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Solution

The third proportional to 5,946 and 7,027.50 is: 8,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946 : 7,027.50 = 7,027.50 : x
  2. Step 2: Convert to fraction form
    5,946/7,027.50 = 7,027.50/x
  3. Step 3: Cross multiply
    5,946x = 7,027.50 × 7,027.50
  4. Step 4: Simplify right side
    5,946x = 49,385,756.25
  5. Step 5: Solve for x
    x = 49,385,756.25/5,946
  6. Step 6: Final answer
    x = 8,305.71

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.