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Finding the Third Proportional to 93,854 and 202,462

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Solution

The third proportional to 93,854 and 202,462 is: 436,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,854 : 202,462 = 202,462 : x
  2. Step 2: Convert to fraction form
    93,854/202,462 = 202,462/x
  3. Step 3: Cross multiply
    93,854x = 202,462 × 202,462
  4. Step 4: Simplify right side
    93,854x = 40,990,861,444
  5. Step 5: Solve for x
    x = 40,990,861,444/93,854
  6. Step 6: Final answer
    x = 436,751.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.