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Finding the Third Proportional to 328,069.50 and 513,975

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Solution

The third proportional to 328,069.50 and 513,975 is: 805,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,069.50 : 513,975 = 513,975 : x
  2. Step 2: Convert to fraction form
    328,069.50/513,975 = 513,975/x
  3. Step 3: Cross multiply
    328,069.50x = 513,975 × 513,975
  4. Step 4: Simplify right side
    328,069.50x = 264,170,300,625
  5. Step 5: Solve for x
    x = 264,170,300,625/328,069.50
  6. Step 6: Final answer
    x = 805,226.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.