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Finding the Third Proportional to 121,958 and 190,071

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Solution

The third proportional to 121,958 and 190,071 is: 296,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,958 : 190,071 = 190,071 : x
  2. Step 2: Convert to fraction form
    121,958/190,071 = 190,071/x
  3. Step 3: Cross multiply
    121,958x = 190,071 × 190,071
  4. Step 4: Simplify right side
    121,958x = 36,126,985,041
  5. Step 5: Solve for x
    x = 36,126,985,041/121,958
  6. Step 6: Final answer
    x = 296,224.81

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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.