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Finding the Third Proportional to 121,539 and 190,221

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Solution

The third proportional to 121,539 and 190,221 is: 297,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,539 : 190,221 = 190,221 : x
  2. Step 2: Convert to fraction form
    121,539/190,221 = 190,221/x
  3. Step 3: Cross multiply
    121,539x = 190,221 × 190,221
  4. Step 4: Simplify right side
    121,539x = 36,184,028,841
  5. Step 5: Solve for x
    x = 36,184,028,841/121,539
  6. Step 6: Final answer
    x = 297,715.37

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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.