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Finding the Third Proportional to 90,702 and 211,803

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Solution

The third proportional to 90,702 and 211,803 is: 494,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,702 : 211,803 = 211,803 : x
  2. Step 2: Convert to fraction form
    90,702/211,803 = 211,803/x
  3. Step 3: Cross multiply
    90,702x = 211,803 × 211,803
  4. Step 4: Simplify right side
    90,702x = 44,860,510,809
  5. Step 5: Solve for x
    x = 44,860,510,809/90,702
  6. Step 6: Final answer
    x = 494,592.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.