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Finding the Third Proportional to 9,254 and 12,149.50

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Solution

The third proportional to 9,254 and 12,149.50 is: 15,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254 : 12,149.50 = 12,149.50 : x
  2. Step 2: Convert to fraction form
    9,254/12,149.50 = 12,149.50/x
  3. Step 3: Cross multiply
    9,254x = 12,149.50 × 12,149.50
  4. Step 4: Simplify right side
    9,254x = 147,610,350.25
  5. Step 5: Solve for x
    x = 147,610,350.25/9,254
  6. Step 6: Final answer
    x = 15,950.98

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.