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Finding the Third Proportional to 268,420 and 584,790

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Solution

The third proportional to 268,420 and 584,790 is: 1,274,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,420 : 584,790 = 584,790 : x
  2. Step 2: Convert to fraction form
    268,420/584,790 = 584,790/x
  3. Step 3: Cross multiply
    268,420x = 584,790 × 584,790
  4. Step 4: Simplify right side
    268,420x = 341,979,344,100
  5. Step 5: Solve for x
    x = 341,979,344,100/268,420
  6. Step 6: Final answer
    x = 1,274,045.69

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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.