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Finding the Third Proportional to 120,629 and 254,866

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Solution

The third proportional to 120,629 and 254,866 is: 538,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,629 : 254,866 = 254,866 : x
  2. Step 2: Convert to fraction form
    120,629/254,866 = 254,866/x
  3. Step 3: Cross multiply
    120,629x = 254,866 × 254,866
  4. Step 4: Simplify right side
    120,629x = 64,956,677,956
  5. Step 5: Solve for x
    x = 64,956,677,956/120,629
  6. Step 6: Final answer
    x = 538,483.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.