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Finding the Third Proportional to 42,338 and 88,942

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Solution

The third proportional to 42,338 and 88,942 is: 186,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338 : 88,942 = 88,942 : x
  2. Step 2: Convert to fraction form
    42,338/88,942 = 88,942/x
  3. Step 3: Cross multiply
    42,338x = 88,942 × 88,942
  4. Step 4: Simplify right side
    42,338x = 7,910,679,364
  5. Step 5: Solve for x
    x = 7,910,679,364/42,338
  6. Step 6: Final answer
    x = 186,845.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.