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Finding the Third Proportional to 283,492 and 426,520

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Solution

The third proportional to 283,492 and 426,520 is: 641,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,492 : 426,520 = 426,520 : x
  2. Step 2: Convert to fraction form
    283,492/426,520 = 426,520/x
  3. Step 3: Cross multiply
    283,492x = 426,520 × 426,520
  4. Step 4: Simplify right side
    283,492x = 181,919,310,400
  5. Step 5: Solve for x
    x = 181,919,310,400/283,492
  6. Step 6: Final answer
    x = 641,708.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.