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Finding the Third Proportional to 94,408.50 and 142,983

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Solution

The third proportional to 94,408.50 and 142,983 is: 216,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,408.50 : 142,983 = 142,983 : x
  2. Step 2: Convert to fraction form
    94,408.50/142,983 = 142,983/x
  3. Step 3: Cross multiply
    94,408.50x = 142,983 × 142,983
  4. Step 4: Simplify right side
    94,408.50x = 20,444,138,289
  5. Step 5: Solve for x
    x = 20,444,138,289/94,408.50
  6. Step 6: Final answer
    x = 216,549.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.