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Finding the Third Proportional to 121,054 and 256,672

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Solution

The third proportional to 121,054 and 256,672 is: 544,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,054 : 256,672 = 256,672 : x
  2. Step 2: Convert to fraction form
    121,054/256,672 = 256,672/x
  3. Step 3: Cross multiply
    121,054x = 256,672 × 256,672
  4. Step 4: Simplify right side
    121,054x = 65,880,515,584
  5. Step 5: Solve for x
    x = 65,880,515,584/121,054
  6. Step 6: Final answer
    x = 544,224.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.