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Finding the Third Proportional to 103,621 and 214,613

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Solution

The third proportional to 103,621 and 214,613 is: 444,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,621 : 214,613 = 214,613 : x
  2. Step 2: Convert to fraction form
    103,621/214,613 = 214,613/x
  3. Step 3: Cross multiply
    103,621x = 214,613 × 214,613
  4. Step 4: Simplify right side
    103,621x = 46,058,739,769
  5. Step 5: Solve for x
    x = 46,058,739,769/103,621
  6. Step 6: Final answer
    x = 444,492.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.