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Finding the Third Proportional to 280,555 and 605,396

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Solution

The third proportional to 280,555 and 605,396 is: 1,306,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,555 : 605,396 = 605,396 : x
  2. Step 2: Convert to fraction form
    280,555/605,396 = 605,396/x
  3. Step 3: Cross multiply
    280,555x = 605,396 × 605,396
  4. Step 4: Simplify right side
    280,555x = 366,504,316,816
  5. Step 5: Solve for x
    x = 366,504,316,816/280,555
  6. Step 6: Final answer
    x = 1,306,354.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.