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Finding the Third Proportional to 121,411 and 190,042

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Solution

The third proportional to 121,411 and 190,042 is: 297,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411 : 190,042 = 190,042 : x
  2. Step 2: Convert to fraction form
    121,411/190,042 = 190,042/x
  3. Step 3: Cross multiply
    121,411x = 190,042 × 190,042
  4. Step 4: Simplify right side
    121,411x = 36,115,961,764
  5. Step 5: Solve for x
    x = 36,115,961,764/121,411
  6. Step 6: Final answer
    x = 297,468.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.