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Finding the Third Proportional to 280,155 and 599,679

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Solution

The third proportional to 280,155 and 599,679 is: 1,283,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,155 : 599,679 = 599,679 : x
  2. Step 2: Convert to fraction form
    280,155/599,679 = 599,679/x
  3. Step 3: Cross multiply
    280,155x = 599,679 × 599,679
  4. Step 4: Simplify right side
    280,155x = 359,614,903,041
  5. Step 5: Solve for x
    x = 359,614,903,041/280,155
  6. Step 6: Final answer
    x = 1,283,628.36

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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.