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Finding the Third Proportional to 268,240 and 582,612

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Solution

The third proportional to 268,240 and 582,612 is: 1,265,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,240 : 582,612 = 582,612 : x
  2. Step 2: Convert to fraction form
    268,240/582,612 = 582,612/x
  3. Step 3: Cross multiply
    268,240x = 582,612 × 582,612
  4. Step 4: Simplify right side
    268,240x = 339,436,742,544
  5. Step 5: Solve for x
    x = 339,436,742,544/268,240
  6. Step 6: Final answer
    x = 1,265,421.80

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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.