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Finding the Third Proportional to 121,054 and 180,672

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Solution

The third proportional to 121,054 and 180,672 is: 269,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,054 : 180,672 = 180,672 : x
  2. Step 2: Convert to fraction form
    121,054/180,672 = 180,672/x
  3. Step 3: Cross multiply
    121,054x = 180,672 × 180,672
  4. Step 4: Simplify right side
    121,054x = 32,642,371,584
  5. Step 5: Solve for x
    x = 32,642,371,584/121,054
  6. Step 6: Final answer
    x = 269,651.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.