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Finding the Third Proportional to 42,768 and 103,639.50

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Solution

The third proportional to 42,768 and 103,639.50 is: 251,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,768 : 103,639.50 = 103,639.50 : x
  2. Step 2: Convert to fraction form
    42,768/103,639.50 = 103,639.50/x
  3. Step 3: Cross multiply
    42,768x = 103,639.50 × 103,639.50
  4. Step 4: Simplify right side
    42,768x = 10,741,145,960.25
  5. Step 5: Solve for x
    x = 10,741,145,960.25/42,768
  6. Step 6: Final answer
    x = 251,149.13

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.