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Finding the Third Proportional to 7,908.75 and 12,342.38

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Solution

The third proportional to 7,908.75 and 12,342.38 is: 19,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.75 : 12,342.38 = 12,342.38 : x
  2. Step 2: Convert to fraction form
    7,908.75/12,342.38 = 12,342.38/x
  3. Step 3: Cross multiply
    7,908.75x = 12,342.38 × 12,342.38
  4. Step 4: Simplify right side
    7,908.75x = 152,334,220.64
  5. Step 5: Solve for x
    x = 152,334,220.64/7,908.75
  6. Step 6: Final answer
    x = 19,261.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.