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Finding the Third Proportional to 117,120 and 256,544

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Solution

The third proportional to 117,120 and 256,544 is: 561,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,120 : 256,544 = 256,544 : x
  2. Step 2: Convert to fraction form
    117,120/256,544 = 256,544/x
  3. Step 3: Cross multiply
    117,120x = 256,544 × 256,544
  4. Step 4: Simplify right side
    117,120x = 65,814,823,936
  5. Step 5: Solve for x
    x = 65,814,823,936/117,120
  6. Step 6: Final answer
    x = 561,943.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.