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Finding the Third Proportional to 7,643.25 and 15,777.56

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Solution

The third proportional to 7,643.25 and 15,777.56 is: 32,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.25 : 15,777.56 = 15,777.56 : x
  2. Step 2: Convert to fraction form
    7,643.25/15,777.56 = 15,777.56/x
  3. Step 3: Cross multiply
    7,643.25x = 15,777.56 × 15,777.56
  4. Step 4: Simplify right side
    7,643.25x = 248,931,478.44
  5. Step 5: Solve for x
    x = 248,931,478.44/7,643.25
  6. Step 6: Final answer
    x = 32,568.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.