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Finding the Third Proportional to 311,192 and 678,708

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Solution

The third proportional to 311,192 and 678,708 is: 1,480,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,192 : 678,708 = 678,708 : x
  2. Step 2: Convert to fraction form
    311,192/678,708 = 678,708/x
  3. Step 3: Cross multiply
    311,192x = 678,708 × 678,708
  4. Step 4: Simplify right side
    311,192x = 460,644,549,264
  5. Step 5: Solve for x
    x = 460,644,549,264/311,192
  6. Step 6: Final answer
    x = 1,480,258.33

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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.