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Finding the Third Proportional to 117,576 and 258,480

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Solution

The third proportional to 117,576 and 258,480 is: 568,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,576 : 258,480 = 258,480 : x
  2. Step 2: Convert to fraction form
    117,576/258,480 = 258,480/x
  3. Step 3: Cross multiply
    117,576x = 258,480 × 258,480
  4. Step 4: Simplify right side
    117,576x = 66,811,910,400
  5. Step 5: Solve for x
    x = 66,811,910,400/117,576
  6. Step 6: Final answer
    x = 568,244.46

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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.