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Finding the Third Proportional to 94,848 and 142,026

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Solution

The third proportional to 94,848 and 142,026 is: 212,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,848 : 142,026 = 142,026 : x
  2. Step 2: Convert to fraction form
    94,848/142,026 = 142,026/x
  3. Step 3: Cross multiply
    94,848x = 142,026 × 142,026
  4. Step 4: Simplify right side
    94,848x = 20,171,384,676
  5. Step 5: Solve for x
    x = 20,171,384,676/94,848
  6. Step 6: Final answer
    x = 212,670.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.