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Finding the Third Proportional to 91,388 and 211,544

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Solution

The third proportional to 91,388 and 211,544 is: 489,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,388 : 211,544 = 211,544 : x
  2. Step 2: Convert to fraction form
    91,388/211,544 = 211,544/x
  3. Step 3: Cross multiply
    91,388x = 211,544 × 211,544
  4. Step 4: Simplify right side
    91,388x = 44,750,863,936
  5. Step 5: Solve for x
    x = 44,750,863,936/91,388
  6. Step 6: Final answer
    x = 489,679.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.