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Finding the Third Proportional to 210,876 and 248,055

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Solution

The third proportional to 210,876 and 248,055 is: 291,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,876 : 248,055 = 248,055 : x
  2. Step 2: Convert to fraction form
    210,876/248,055 = 248,055/x
  3. Step 3: Cross multiply
    210,876x = 248,055 × 248,055
  4. Step 4: Simplify right side
    210,876x = 61,531,283,025
  5. Step 5: Solve for x
    x = 61,531,283,025/210,876
  6. Step 6: Final answer
    x = 291,788.93

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.