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Finding the Third Proportional to 280,548 and 600,489

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Solution

The third proportional to 280,548 and 600,489 is: 1,285,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,548 : 600,489 = 600,489 : x
  2. Step 2: Convert to fraction form
    280,548/600,489 = 600,489/x
  3. Step 3: Cross multiply
    280,548x = 600,489 × 600,489
  4. Step 4: Simplify right side
    280,548x = 360,587,039,121
  5. Step 5: Solve for x
    x = 360,587,039,121/280,548
  6. Step 6: Final answer
    x = 1,285,295.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.