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Finding the Third Proportional to 90,699 and 211,797

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Solution

The third proportional to 90,699 and 211,797 is: 494,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,699 : 211,797 = 211,797 : x
  2. Step 2: Convert to fraction form
    90,699/211,797 = 211,797/x
  3. Step 3: Cross multiply
    90,699x = 211,797 × 211,797
  4. Step 4: Simplify right side
    90,699x = 44,857,969,209
  5. Step 5: Solve for x
    x = 44,857,969,209/90,699
  6. Step 6: Final answer
    x = 494,580.64

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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.