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Finding the Third Proportional to 52,112.25 and 122,935.50

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Solution

The third proportional to 52,112.25 and 122,935.50 is: 290,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112.25 : 122,935.50 = 122,935.50 : x
  2. Step 2: Convert to fraction form
    52,112.25/122,935.50 = 122,935.50/x
  3. Step 3: Cross multiply
    52,112.25x = 122,935.50 × 122,935.50
  4. Step 4: Simplify right side
    52,112.25x = 15,113,137,160.25
  5. Step 5: Solve for x
    x = 15,113,137,160.25/52,112.25
  6. Step 6: Final answer
    x = 290,011.22

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.