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Finding the Third Proportional to 102,458 and 209,974

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Solution

The third proportional to 102,458 and 209,974 is: 430,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,458 : 209,974 = 209,974 : x
  2. Step 2: Convert to fraction form
    102,458/209,974 = 209,974/x
  3. Step 3: Cross multiply
    102,458x = 209,974 × 209,974
  4. Step 4: Simplify right side
    102,458x = 44,089,080,676
  5. Step 5: Solve for x
    x = 44,089,080,676/102,458
  6. Step 6: Final answer
    x = 430,313.70

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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.