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Finding the Third Proportional to 283,612 and 439,094

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Solution

The third proportional to 283,612 and 439,094 is: 679,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,612 : 439,094 = 439,094 : x
  2. Step 2: Convert to fraction form
    283,612/439,094 = 439,094/x
  3. Step 3: Cross multiply
    283,612x = 439,094 × 439,094
  4. Step 4: Simplify right side
    283,612x = 192,803,540,836
  5. Step 5: Solve for x
    x = 192,803,540,836/283,612
  6. Step 6: Final answer
    x = 679,814.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.