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Finding the Third Proportional to 133,717 and 293,678

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Solution

The third proportional to 133,717 and 293,678 is: 644,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,717 : 293,678 = 293,678 : x
  2. Step 2: Convert to fraction form
    133,717/293,678 = 293,678/x
  3. Step 3: Cross multiply
    133,717x = 293,678 × 293,678
  4. Step 4: Simplify right side
    133,717x = 86,246,767,684
  5. Step 5: Solve for x
    x = 86,246,767,684/133,717
  6. Step 6: Final answer
    x = 644,994.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.