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Finding the Third Proportional to 208,623 and 283,395

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Solution

The third proportional to 208,623 and 283,395 is: 384,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,623 : 283,395 = 283,395 : x
  2. Step 2: Convert to fraction form
    208,623/283,395 = 283,395/x
  3. Step 3: Cross multiply
    208,623x = 283,395 × 283,395
  4. Step 4: Simplify right side
    208,623x = 80,312,726,025
  5. Step 5: Solve for x
    x = 80,312,726,025/208,623
  6. Step 6: Final answer
    x = 384,965.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.