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Finding the Third Proportional to 202,087.69 and 280,984.50

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Solution

The third proportional to 202,087.69 and 280,984.50 is: 390,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,087.69 : 280,984.50 = 280,984.50 : x
  2. Step 2: Convert to fraction form
    202,087.69/280,984.50 = 280,984.50/x
  3. Step 3: Cross multiply
    202,087.69x = 280,984.50 × 280,984.50
  4. Step 4: Simplify right side
    202,087.69x = 78,952,289,240.25
  5. Step 5: Solve for x
    x = 78,952,289,240.25/202,087.69
  6. Step 6: Final answer
    x = 390,683.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.