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Finding the Third Proportional to 90,806 and 211,014

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Solution

The third proportional to 90,806 and 211,014 is: 490,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,806 : 211,014 = 211,014 : x
  2. Step 2: Convert to fraction form
    90,806/211,014 = 211,014/x
  3. Step 3: Cross multiply
    90,806x = 211,014 × 211,014
  4. Step 4: Simplify right side
    90,806x = 44,526,908,196
  5. Step 5: Solve for x
    x = 44,526,908,196/90,806
  6. Step 6: Final answer
    x = 490,352.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.