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Finding the Third Proportional to 121,440 and 256,736

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Solution

The third proportional to 121,440 and 256,736 is: 542,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,440 : 256,736 = 256,736 : x
  2. Step 2: Convert to fraction form
    121,440/256,736 = 256,736/x
  3. Step 3: Cross multiply
    121,440x = 256,736 × 256,736
  4. Step 4: Simplify right side
    121,440x = 65,913,373,696
  5. Step 5: Solve for x
    x = 65,913,373,696/121,440
  6. Step 6: Final answer
    x = 542,764.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.