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Finding the Third Proportional to 280,197 and 608,021

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Solution

The third proportional to 280,197 and 608,021 is: 1,319,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,197 : 608,021 = 608,021 : x
  2. Step 2: Convert to fraction form
    280,197/608,021 = 608,021/x
  3. Step 3: Cross multiply
    280,197x = 608,021 × 608,021
  4. Step 4: Simplify right side
    280,197x = 369,689,536,441
  5. Step 5: Solve for x
    x = 369,689,536,441/280,197
  6. Step 6: Final answer
    x = 1,319,391.49

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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.