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Finding the Third Proportional to 52,133.63 and 113,830.31

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Solution

The third proportional to 52,133.63 and 113,830.31 is: 248,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,133.63 : 113,830.31 = 113,830.31 : x
  2. Step 2: Convert to fraction form
    52,133.63/113,830.31 = 113,830.31/x
  3. Step 3: Cross multiply
    52,133.63x = 113,830.31 × 113,830.31
  4. Step 4: Simplify right side
    52,133.63x = 12,957,340,043.85
  5. Step 5: Solve for x
    x = 12,957,340,043.85/52,133.63
  6. Step 6: Final answer
    x = 248,540.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.