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Finding the Third Proportional to 121,259 and 248,350

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Solution

The third proportional to 121,259 and 248,350 is: 508,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,259 : 248,350 = 248,350 : x
  2. Step 2: Convert to fraction form
    121,259/248,350 = 248,350/x
  3. Step 3: Cross multiply
    121,259x = 248,350 × 248,350
  4. Step 4: Simplify right side
    121,259x = 61,677,722,500
  5. Step 5: Solve for x
    x = 61,677,722,500/121,259
  6. Step 6: Final answer
    x = 508,644.49

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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.