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Finding the Third Proportional to 4,620.75 and 10,848.75

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Solution

The third proportional to 4,620.75 and 10,848.75 is: 25,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.75 : 10,848.75 = 10,848.75 : x
  2. Step 2: Convert to fraction form
    4,620.75/10,848.75 = 10,848.75/x
  3. Step 3: Cross multiply
    4,620.75x = 10,848.75 × 10,848.75
  4. Step 4: Simplify right side
    4,620.75x = 117,695,376.56
  5. Step 5: Solve for x
    x = 117,695,376.56/4,620.75
  6. Step 6: Final answer
    x = 25,471.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.