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Finding the Third Proportional to 117,973 and 256,679

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Solution

The third proportional to 117,973 and 256,679 is: 558,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,973 : 256,679 = 256,679 : x
  2. Step 2: Convert to fraction form
    117,973/256,679 = 256,679/x
  3. Step 3: Cross multiply
    117,973x = 256,679 × 256,679
  4. Step 4: Simplify right side
    117,973x = 65,884,109,041
  5. Step 5: Solve for x
    x = 65,884,109,041/117,973
  6. Step 6: Final answer
    x = 558,467.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.