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Finding the Third Proportional to 211,738 and 355,920

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Solution

The third proportional to 211,738 and 355,920 is: 598,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,738 : 355,920 = 355,920 : x
  2. Step 2: Convert to fraction form
    211,738/355,920 = 355,920/x
  3. Step 3: Cross multiply
    211,738x = 355,920 × 355,920
  4. Step 4: Simplify right side
    211,738x = 126,679,046,400
  5. Step 5: Solve for x
    x = 126,679,046,400/211,738
  6. Step 6: Final answer
    x = 598,282.06

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.