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Finding the Third Proportional to 259,075.25 and 557,516.75

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Solution

The third proportional to 259,075.25 and 557,516.75 is: 1,199,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,075.25 : 557,516.75 = 557,516.75 : x
  2. Step 2: Convert to fraction form
    259,075.25/557,516.75 = 557,516.75/x
  3. Step 3: Cross multiply
    259,075.25x = 557,516.75 × 557,516.75
  4. Step 4: Simplify right side
    259,075.25x = 310,824,926,530.56
  5. Step 5: Solve for x
    x = 310,824,926,530.56/259,075.25
  6. Step 6: Final answer
    x = 1,199,747.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.