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Finding the Third Proportional to 121,994 and 190,111

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Solution

The third proportional to 121,994 and 190,111 is: 296,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,994 : 190,111 = 190,111 : x
  2. Step 2: Convert to fraction form
    121,994/190,111 = 190,111/x
  3. Step 3: Cross multiply
    121,994x = 190,111 × 190,111
  4. Step 4: Simplify right side
    121,994x = 36,142,192,321
  5. Step 5: Solve for x
    x = 36,142,192,321/121,994
  6. Step 6: Final answer
    x = 296,262.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.