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Finding the Third Proportional to 93,476 and 203,870

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Solution

The third proportional to 93,476 and 203,870 is: 444,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,476 : 203,870 = 203,870 : x
  2. Step 2: Convert to fraction form
    93,476/203,870 = 203,870/x
  3. Step 3: Cross multiply
    93,476x = 203,870 × 203,870
  4. Step 4: Simplify right side
    93,476x = 41,562,976,900
  5. Step 5: Solve for x
    x = 41,562,976,900/93,476
  6. Step 6: Final answer
    x = 444,637.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.