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Finding the Third Proportional to 74,956 and 113,968.50

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Solution

The third proportional to 74,956 and 113,968.50 is: 173,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,956 : 113,968.50 = 113,968.50 : x
  2. Step 2: Convert to fraction form
    74,956/113,968.50 = 113,968.50/x
  3. Step 3: Cross multiply
    74,956x = 113,968.50 × 113,968.50
  4. Step 4: Simplify right side
    74,956x = 12,988,818,992.25
  5. Step 5: Solve for x
    x = 12,988,818,992.25/74,956
  6. Step 6: Final answer
    x = 173,285.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.