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Finding the Third Proportional to 280,203 and 608,036

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Solution

The third proportional to 280,203 and 608,036 is: 1,319,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,203 : 608,036 = 608,036 : x
  2. Step 2: Convert to fraction form
    280,203/608,036 = 608,036/x
  3. Step 3: Cross multiply
    280,203x = 608,036 × 608,036
  4. Step 4: Simplify right side
    280,203x = 369,707,777,296
  5. Step 5: Solve for x
    x = 369,707,777,296/280,203
  6. Step 6: Final answer
    x = 1,319,428.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.