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Finding the Third Proportional to 94,734.50 and 143,086

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Solution

The third proportional to 94,734.50 and 143,086 is: 216,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,734.50 : 143,086 = 143,086 : x
  2. Step 2: Convert to fraction form
    94,734.50/143,086 = 143,086/x
  3. Step 3: Cross multiply
    94,734.50x = 143,086 × 143,086
  4. Step 4: Simplify right side
    94,734.50x = 20,473,603,396
  5. Step 5: Solve for x
    x = 20,473,603,396/94,734.50
  6. Step 6: Final answer
    x = 216,115.60

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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.