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Finding the Third Proportional to 11,861.44 and 19,280.53

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Solution

The third proportional to 11,861.44 and 19,280.53 is: 31,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.44 : 19,280.53 = 19,280.53 : x
  2. Step 2: Convert to fraction form
    11,861.44/19,280.53 = 19,280.53/x
  3. Step 3: Cross multiply
    11,861.44x = 19,280.53 × 19,280.53
  4. Step 4: Simplify right side
    11,861.44x = 371,738,885.28
  5. Step 5: Solve for x
    x = 371,738,885.28/11,861.44
  6. Step 6: Final answer
    x = 31,340.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.