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Finding the Third Proportional to 121,961 and 191,572

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Solution

The third proportional to 121,961 and 191,572 is: 300,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,961 : 191,572 = 191,572 : x
  2. Step 2: Convert to fraction form
    121,961/191,572 = 191,572/x
  3. Step 3: Cross multiply
    121,961x = 191,572 × 191,572
  4. Step 4: Simplify right side
    121,961x = 36,699,831,184
  5. Step 5: Solve for x
    x = 36,699,831,184/121,961
  6. Step 6: Final answer
    x = 300,914.48

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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.