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Finding the Third Proportional to 280,608 and 581,172

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Solution

The third proportional to 280,608 and 581,172 is: 1,203,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,608 : 581,172 = 581,172 : x
  2. Step 2: Convert to fraction form
    280,608/581,172 = 581,172/x
  3. Step 3: Cross multiply
    280,608x = 581,172 × 581,172
  4. Step 4: Simplify right side
    280,608x = 337,760,893,584
  5. Step 5: Solve for x
    x = 337,760,893,584/280,608
  6. Step 6: Final answer
    x = 1,203,675.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.