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Finding the Third Proportional to 138,678 and 283,926

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Solution

The third proportional to 138,678 and 283,926 is: 581,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,678 : 283,926 = 283,926 : x
  2. Step 2: Convert to fraction form
    138,678/283,926 = 283,926/x
  3. Step 3: Cross multiply
    138,678x = 283,926 × 283,926
  4. Step 4: Simplify right side
    138,678x = 80,613,973,476
  5. Step 5: Solve for x
    x = 80,613,973,476/138,678
  6. Step 6: Final answer
    x = 581,303.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.