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Finding the Third Proportional to 42,352 and 61,936

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Solution

The third proportional to 42,352 and 61,936 is: 90,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,352 : 61,936 = 61,936 : x
  2. Step 2: Convert to fraction form
    42,352/61,936 = 61,936/x
  3. Step 3: Cross multiply
    42,352x = 61,936 × 61,936
  4. Step 4: Simplify right side
    42,352x = 3,836,068,096
  5. Step 5: Solve for x
    x = 3,836,068,096/42,352
  6. Step 6: Final answer
    x = 90,575.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.