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Finding the Third Proportional to 90,621 and 213,213

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Solution

The third proportional to 90,621 and 213,213 is: 501,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,621 : 213,213 = 213,213 : x
  2. Step 2: Convert to fraction form
    90,621/213,213 = 213,213/x
  3. Step 3: Cross multiply
    90,621x = 213,213 × 213,213
  4. Step 4: Simplify right side
    90,621x = 45,459,783,369
  5. Step 5: Solve for x
    x = 45,459,783,369/90,621
  6. Step 6: Final answer
    x = 501,647.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.