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Finding the Third Proportional to 4,828.78 and 10,474.03

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Solution

The third proportional to 4,828.78 and 10,474.03 is: 22,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.78 : 10,474.03 = 10,474.03 : x
  2. Step 2: Convert to fraction form
    4,828.78/10,474.03 = 10,474.03/x
  3. Step 3: Cross multiply
    4,828.78x = 10,474.03 × 10,474.03
  4. Step 4: Simplify right side
    4,828.78x = 109,705,330.63
  5. Step 5: Solve for x
    x = 109,705,330.63/4,828.78
  6. Step 6: Final answer
    x = 22,719.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.