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Finding the Third Proportional to 1,821 and 4,915.50

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Solution

The third proportional to 1,821 and 4,915.50 is: 13,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821 : 4,915.50 = 4,915.50 : x
  2. Step 2: Convert to fraction form
    1,821/4,915.50 = 4,915.50/x
  3. Step 3: Cross multiply
    1,821x = 4,915.50 × 4,915.50
  4. Step 4: Simplify right side
    1,821x = 24,162,140.25
  5. Step 5: Solve for x
    x = 24,162,140.25/1,821
  6. Step 6: Final answer
    x = 13,268.61

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.