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Finding the Third Proportional to 118,721 and 256,168

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Solution

The third proportional to 118,721 and 256,168 is: 552,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,721 : 256,168 = 256,168 : x
  2. Step 2: Convert to fraction form
    118,721/256,168 = 256,168/x
  3. Step 3: Cross multiply
    118,721x = 256,168 × 256,168
  4. Step 4: Simplify right side
    118,721x = 65,622,044,224
  5. Step 5: Solve for x
    x = 65,622,044,224/118,721
  6. Step 6: Final answer
    x = 552,741.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.