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Finding the Third Proportional to 121,980 and 190,348

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Solution

The third proportional to 121,980 and 190,348 is: 297,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,980 : 190,348 = 190,348 : x
  2. Step 2: Convert to fraction form
    121,980/190,348 = 190,348/x
  3. Step 3: Cross multiply
    121,980x = 190,348 × 190,348
  4. Step 4: Simplify right side
    121,980x = 36,232,361,104
  5. Step 5: Solve for x
    x = 36,232,361,104/121,980
  6. Step 6: Final answer
    x = 297,035.26

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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.