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Finding the Third Proportional to 120,786 and 284,203

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Solution

The third proportional to 120,786 and 284,203 is: 668,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786 : 284,203 = 284,203 : x
  2. Step 2: Convert to fraction form
    120,786/284,203 = 284,203/x
  3. Step 3: Cross multiply
    120,786x = 284,203 × 284,203
  4. Step 4: Simplify right side
    120,786x = 80,771,345,209
  5. Step 5: Solve for x
    x = 80,771,345,209/120,786
  6. Step 6: Final answer
    x = 668,714.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.