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Finding the Third Proportional to 10,444.50 and 14,775.75

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Solution

The third proportional to 10,444.50 and 14,775.75 is: 20,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.50 : 14,775.75 = 14,775.75 : x
  2. Step 2: Convert to fraction form
    10,444.50/14,775.75 = 14,775.75/x
  3. Step 3: Cross multiply
    10,444.50x = 14,775.75 × 14,775.75
  4. Step 4: Simplify right side
    10,444.50x = 218,322,788.06
  5. Step 5: Solve for x
    x = 218,322,788.06/10,444.50
  6. Step 6: Final answer
    x = 20,903.13

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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.