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Finding the Third Proportional to 280,206 and 599,778

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Solution

The third proportional to 280,206 and 599,778 is: 1,283,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,206 : 599,778 = 599,778 : x
  2. Step 2: Convert to fraction form
    280,206/599,778 = 599,778/x
  3. Step 3: Cross multiply
    280,206x = 599,778 × 599,778
  4. Step 4: Simplify right side
    280,206x = 359,733,649,284
  5. Step 5: Solve for x
    x = 359,733,649,284/280,206
  6. Step 6: Final answer
    x = 1,283,818.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.