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Finding the Third Proportional to 268,264 and 578,680

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Solution

The third proportional to 268,264 and 578,680 is: 1,248,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,264 : 578,680 = 578,680 : x
  2. Step 2: Convert to fraction form
    268,264/578,680 = 578,680/x
  3. Step 3: Cross multiply
    268,264x = 578,680 × 578,680
  4. Step 4: Simplify right side
    268,264x = 334,870,542,400
  5. Step 5: Solve for x
    x = 334,870,542,400/268,264
  6. Step 6: Final answer
    x = 1,248,287.29

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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.