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Finding the Third Proportional to 137,305 and 283,426

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Solution

The third proportional to 137,305 and 283,426 is: 585,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,305 : 283,426 = 283,426 : x
  2. Step 2: Convert to fraction form
    137,305/283,426 = 283,426/x
  3. Step 3: Cross multiply
    137,305x = 283,426 × 283,426
  4. Step 4: Simplify right side
    137,305x = 80,330,297,476
  5. Step 5: Solve for x
    x = 80,330,297,476/137,305
  6. Step 6: Final answer
    x = 585,050.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.