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Finding the Third Proportional to 268,478 and 584,356

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Solution

The third proportional to 268,478 and 584,356 is: 1,271,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,478 : 584,356 = 584,356 : x
  2. Step 2: Convert to fraction form
    268,478/584,356 = 584,356/x
  3. Step 3: Cross multiply
    268,478x = 584,356 × 584,356
  4. Step 4: Simplify right side
    268,478x = 341,471,934,736
  5. Step 5: Solve for x
    x = 341,471,934,736/268,478
  6. Step 6: Final answer
    x = 1,271,880.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.