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Finding the Third Proportional to 11,490.50 and 25,984.50

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Solution

The third proportional to 11,490.50 and 25,984.50 is: 58,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.50 : 25,984.50 = 25,984.50 : x
  2. Step 2: Convert to fraction form
    11,490.50/25,984.50 = 25,984.50/x
  3. Step 3: Cross multiply
    11,490.50x = 25,984.50 × 25,984.50
  4. Step 4: Simplify right side
    11,490.50x = 675,194,240.25
  5. Step 5: Solve for x
    x = 675,194,240.25/11,490.50
  6. Step 6: Final answer
    x = 58,761.08

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.