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Finding the Third Proportional to 102,074 and 218,905

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Solution

The third proportional to 102,074 and 218,905 is: 469,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,074 : 218,905 = 218,905 : x
  2. Step 2: Convert to fraction form
    102,074/218,905 = 218,905/x
  3. Step 3: Cross multiply
    102,074x = 218,905 × 218,905
  4. Step 4: Simplify right side
    102,074x = 47,919,399,025
  5. Step 5: Solve for x
    x = 47,919,399,025/102,074
  6. Step 6: Final answer
    x = 469,457.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.