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Finding the Third Proportional to 117,440 and 258,112

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Solution

The third proportional to 117,440 and 258,112 is: 567,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,440 : 258,112 = 258,112 : x
  2. Step 2: Convert to fraction form
    117,440/258,112 = 258,112/x
  3. Step 3: Cross multiply
    117,440x = 258,112 × 258,112
  4. Step 4: Simplify right side
    117,440x = 66,621,804,544
  5. Step 5: Solve for x
    x = 66,621,804,544/117,440
  6. Step 6: Final answer
    x = 567,283.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.