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Finding the Third Proportional to 121,269 and 248,370

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Solution

The third proportional to 121,269 and 248,370 is: 508,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,269 : 248,370 = 248,370 : x
  2. Step 2: Convert to fraction form
    121,269/248,370 = 248,370/x
  3. Step 3: Cross multiply
    121,269x = 248,370 × 248,370
  4. Step 4: Simplify right side
    121,269x = 61,687,656,900
  5. Step 5: Solve for x
    x = 61,687,656,900/121,269
  6. Step 6: Final answer
    x = 508,684.47

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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.