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Finding the Third Proportional to 10,219.08 and 13,732.45

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Solution

The third proportional to 10,219.08 and 13,732.45 is: 18,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.08 : 13,732.45 = 13,732.45 : x
  2. Step 2: Convert to fraction form
    10,219.08/13,732.45 = 13,732.45/x
  3. Step 3: Cross multiply
    10,219.08x = 13,732.45 × 13,732.45
  4. Step 4: Simplify right side
    10,219.08x = 188,580,268.83
  5. Step 5: Solve for x
    x = 188,580,268.83/10,219.08
  6. Step 6: Final answer
    x = 18,453.75

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.