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Finding the Third Proportional to 283,278 and 608,661

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Solution

The third proportional to 283,278 and 608,661 is: 1,307,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,278 : 608,661 = 608,661 : x
  2. Step 2: Convert to fraction form
    283,278/608,661 = 608,661/x
  3. Step 3: Cross multiply
    283,278x = 608,661 × 608,661
  4. Step 4: Simplify right side
    283,278x = 370,468,212,921
  5. Step 5: Solve for x
    x = 370,468,212,921/283,278
  6. Step 6: Final answer
    x = 1,307,790.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.