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Finding the Third Proportional to 52,755 and 113,833.50

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Solution

The third proportional to 52,755 and 113,833.50 is: 245,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,755 : 113,833.50 = 113,833.50 : x
  2. Step 2: Convert to fraction form
    52,755/113,833.50 = 113,833.50/x
  3. Step 3: Cross multiply
    52,755x = 113,833.50 × 113,833.50
  4. Step 4: Simplify right side
    52,755x = 12,958,065,722.25
  5. Step 5: Solve for x
    x = 12,958,065,722.25/52,755
  6. Step 6: Final answer
    x = 245,627.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.