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Finding the Third Proportional to 280,376.50 and 616,802

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Solution

The third proportional to 280,376.50 and 616,802 is: 1,356,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376.50 : 616,802 = 616,802 : x
  2. Step 2: Convert to fraction form
    280,376.50/616,802 = 616,802/x
  3. Step 3: Cross multiply
    280,376.50x = 616,802 × 616,802
  4. Step 4: Simplify right side
    280,376.50x = 380,444,707,204
  5. Step 5: Solve for x
    x = 380,444,707,204/280,376.50
  6. Step 6: Final answer
    x = 1,356,906.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.