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Finding the Third Proportional to 1,921.50 and 4,627.13

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Solution

The third proportional to 1,921.50 and 4,627.13 is: 11,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.50 : 4,627.13 = 4,627.13 : x
  2. Step 2: Convert to fraction form
    1,921.50/4,627.13 = 4,627.13/x
  3. Step 3: Cross multiply
    1,921.50x = 4,627.13 × 4,627.13
  4. Step 4: Simplify right side
    1,921.50x = 21,410,285.77
  5. Step 5: Solve for x
    x = 21,410,285.77/1,921.50
  6. Step 6: Final answer
    x = 11,142.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.