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Finding the Third Proportional to 103,121 and 223,630

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Solution

The third proportional to 103,121 and 223,630 is: 484,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,121 : 223,630 = 223,630 : x
  2. Step 2: Convert to fraction form
    103,121/223,630 = 223,630/x
  3. Step 3: Cross multiply
    103,121x = 223,630 × 223,630
  4. Step 4: Simplify right side
    103,121x = 50,010,376,900
  5. Step 5: Solve for x
    x = 50,010,376,900/103,121
  6. Step 6: Final answer
    x = 484,967.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.