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Finding the Third Proportional to 6,405.75 and 7,971.75

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Solution

The third proportional to 6,405.75 and 7,971.75 is: 9,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.75 : 7,971.75 = 7,971.75 : x
  2. Step 2: Convert to fraction form
    6,405.75/7,971.75 = 7,971.75/x
  3. Step 3: Cross multiply
    6,405.75x = 7,971.75 × 7,971.75
  4. Step 4: Simplify right side
    6,405.75x = 63,548,798.06
  5. Step 5: Solve for x
    x = 63,548,798.06/6,405.75
  6. Step 6: Final answer
    x = 9,920.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.