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Finding the Third Proportional to 136,626 and 280,055

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Solution

The third proportional to 136,626 and 280,055 is: 574,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,626 : 280,055 = 280,055 : x
  2. Step 2: Convert to fraction form
    136,626/280,055 = 280,055/x
  3. Step 3: Cross multiply
    136,626x = 280,055 × 280,055
  4. Step 4: Simplify right side
    136,626x = 78,430,803,025
  5. Step 5: Solve for x
    x = 78,430,803,025/136,626
  6. Step 6: Final answer
    x = 574,054.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.