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Finding the Third Proportional to 113,387 and 248,257

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Solution

The third proportional to 113,387 and 248,257 is: 543,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,387 : 248,257 = 248,257 : x
  2. Step 2: Convert to fraction form
    113,387/248,257 = 248,257/x
  3. Step 3: Cross multiply
    113,387x = 248,257 × 248,257
  4. Step 4: Simplify right side
    113,387x = 61,631,538,049
  5. Step 5: Solve for x
    x = 61,631,538,049/113,387
  6. Step 6: Final answer
    x = 543,550.30

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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.