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Finding the Third Proportional to 283,288 and 608,678

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Solution

The third proportional to 283,288 and 608,678 is: 1,307,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,288 : 608,678 = 608,678 : x
  2. Step 2: Convert to fraction form
    283,288/608,678 = 608,678/x
  3. Step 3: Cross multiply
    283,288x = 608,678 × 608,678
  4. Step 4: Simplify right side
    283,288x = 370,488,907,684
  5. Step 5: Solve for x
    x = 370,488,907,684/283,288
  6. Step 6: Final answer
    x = 1,307,817.16

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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.