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Finding the Third Proportional to 42,938 and 68,366.50

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Solution

The third proportional to 42,938 and 68,366.50 is: 108,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,938 : 68,366.50 = 68,366.50 : x
  2. Step 2: Convert to fraction form
    42,938/68,366.50 = 68,366.50/x
  3. Step 3: Cross multiply
    42,938x = 68,366.50 × 68,366.50
  4. Step 4: Simplify right side
    42,938x = 4,673,978,322.25
  5. Step 5: Solve for x
    x = 4,673,978,322.25/42,938
  6. Step 6: Final answer
    x = 108,854.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.