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Finding the Third Proportional to 93,742 and 202,454

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Solution

The third proportional to 93,742 and 202,454 is: 437,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,742 : 202,454 = 202,454 : x
  2. Step 2: Convert to fraction form
    93,742/202,454 = 202,454/x
  3. Step 3: Cross multiply
    93,742x = 202,454 × 202,454
  4. Step 4: Simplify right side
    93,742x = 40,987,622,116
  5. Step 5: Solve for x
    x = 40,987,622,116/93,742
  6. Step 6: Final answer
    x = 437,238.61

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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.