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Finding the Third Proportional to 520,147.50 and 816,163.50

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Solution

The third proportional to 520,147.50 and 816,163.50 is: 1,280,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,147.50 : 816,163.50 = 816,163.50 : x
  2. Step 2: Convert to fraction form
    520,147.50/816,163.50 = 816,163.50/x
  3. Step 3: Cross multiply
    520,147.50x = 816,163.50 × 816,163.50
  4. Step 4: Simplify right side
    520,147.50x = 666,122,858,732.25
  5. Step 5: Solve for x
    x = 666,122,858,732.25/520,147.50
  6. Step 6: Final answer
    x = 1,280,642.24

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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.