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Finding the Third Proportional to 138,651 and 283,858

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Solution

The third proportional to 138,651 and 283,858 is: 581,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,651 : 283,858 = 283,858 : x
  2. Step 2: Convert to fraction form
    138,651/283,858 = 283,858/x
  3. Step 3: Cross multiply
    138,651x = 283,858 × 283,858
  4. Step 4: Simplify right side
    138,651x = 80,575,364,164
  5. Step 5: Solve for x
    x = 80,575,364,164/138,651
  6. Step 6: Final answer
    x = 581,138.00

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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.