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Finding the Third Proportional to 51,768 and 113,336

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Solution

The third proportional to 51,768 and 113,336 is: 248,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768 : 113,336 = 113,336 : x
  2. Step 2: Convert to fraction form
    51,768/113,336 = 113,336/x
  3. Step 3: Cross multiply
    51,768x = 113,336 × 113,336
  4. Step 4: Simplify right side
    51,768x = 12,845,048,896
  5. Step 5: Solve for x
    x = 12,845,048,896/51,768
  6. Step 6: Final answer
    x = 248,127.20

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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.