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Finding the Third Proportional to 2,050.81 and 3,075.56

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Solution

The third proportional to 2,050.81 and 3,075.56 is: 4,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.81 : 3,075.56 = 3,075.56 : x
  2. Step 2: Convert to fraction form
    2,050.81/3,075.56 = 3,075.56/x
  3. Step 3: Cross multiply
    2,050.81x = 3,075.56 × 3,075.56
  4. Step 4: Simplify right side
    2,050.81x = 9,459,084.69
  5. Step 5: Solve for x
    x = 9,459,084.69/2,050.81
  6. Step 6: Final answer
    x = 4,612.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.