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Finding the Third Proportional to 128,619 and 278,622

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Solution

The third proportional to 128,619 and 278,622 is: 603,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,619 : 278,622 = 278,622 : x
  2. Step 2: Convert to fraction form
    128,619/278,622 = 278,622/x
  3. Step 3: Cross multiply
    128,619x = 278,622 × 278,622
  4. Step 4: Simplify right side
    128,619x = 77,630,218,884
  5. Step 5: Solve for x
    x = 77,630,218,884/128,619
  6. Step 6: Final answer
    x = 603,567.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.