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Finding the Third Proportional to 4,782.52 and 10,143.98

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Solution

The third proportional to 4,782.52 and 10,143.98 is: 21,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.52 : 10,143.98 = 10,143.98 : x
  2. Step 2: Convert to fraction form
    4,782.52/10,143.98 = 10,143.98/x
  3. Step 3: Cross multiply
    4,782.52x = 10,143.98 × 10,143.98
  4. Step 4: Simplify right side
    4,782.52x = 102,900,419.00
  5. Step 5: Solve for x
    x = 102,900,419.00/4,782.52
  6. Step 6: Final answer
    x = 21,515.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.