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Finding the Third Proportional to 93,626 and 202,804

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Solution

The third proportional to 93,626 and 202,804 is: 439,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,626 : 202,804 = 202,804 : x
  2. Step 2: Convert to fraction form
    93,626/202,804 = 202,804/x
  3. Step 3: Cross multiply
    93,626x = 202,804 × 202,804
  4. Step 4: Simplify right side
    93,626x = 41,129,462,416
  5. Step 5: Solve for x
    x = 41,129,462,416/93,626
  6. Step 6: Final answer
    x = 439,295.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.