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Finding the Third Proportional to 121,376 and 248,584

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Solution

The third proportional to 121,376 and 248,584 is: 509,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,376 : 248,584 = 248,584 : x
  2. Step 2: Convert to fraction form
    121,376/248,584 = 248,584/x
  3. Step 3: Cross multiply
    121,376x = 248,584 × 248,584
  4. Step 4: Simplify right side
    121,376x = 61,794,005,056
  5. Step 5: Solve for x
    x = 61,794,005,056/121,376
  6. Step 6: Final answer
    x = 509,112.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.