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Finding the Third Proportional to 121,187 and 248,251

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Solution

The third proportional to 121,187 and 248,251 is: 508,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,187 : 248,251 = 248,251 : x
  2. Step 2: Convert to fraction form
    121,187/248,251 = 248,251/x
  3. Step 3: Cross multiply
    121,187x = 248,251 × 248,251
  4. Step 4: Simplify right side
    121,187x = 61,628,559,001
  5. Step 5: Solve for x
    x = 61,628,559,001/121,187
  6. Step 6: Final answer
    x = 508,541.01

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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.