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Finding the Third Proportional to 7,734 and 12,853.50

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Solution

The third proportional to 7,734 and 12,853.50 is: 21,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734 : 12,853.50 = 12,853.50 : x
  2. Step 2: Convert to fraction form
    7,734/12,853.50 = 12,853.50/x
  3. Step 3: Cross multiply
    7,734x = 12,853.50 × 12,853.50
  4. Step 4: Simplify right side
    7,734x = 165,212,462.25
  5. Step 5: Solve for x
    x = 165,212,462.25/7,734
  6. Step 6: Final answer
    x = 21,361.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.