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Finding the Third Proportional to 13,783.75 and 19,410.88

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Solution

The third proportional to 13,783.75 and 19,410.88 is: 27,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.75 : 19,410.88 = 19,410.88 : x
  2. Step 2: Convert to fraction form
    13,783.75/19,410.88 = 19,410.88/x
  3. Step 3: Cross multiply
    13,783.75x = 19,410.88 × 19,410.88
  4. Step 4: Simplify right side
    13,783.75x = 376,782,068.27
  5. Step 5: Solve for x
    x = 376,782,068.27/13,783.75
  6. Step 6: Final answer
    x = 27,335.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.