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Finding the Third Proportional to 4,081 and 6,485.75

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Solution

The third proportional to 4,081 and 6,485.75 is: 10,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081 : 6,485.75 = 6,485.75 : x
  2. Step 2: Convert to fraction form
    4,081/6,485.75 = 6,485.75/x
  3. Step 3: Cross multiply
    4,081x = 6,485.75 × 6,485.75
  4. Step 4: Simplify right side
    4,081x = 42,064,953.06
  5. Step 5: Solve for x
    x = 42,064,953.06/4,081
  6. Step 6: Final answer
    x = 10,307.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.