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Finding the Third Proportional to 93,384 and 202,296

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Solution

The third proportional to 93,384 and 202,296 is: 438,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,384 : 202,296 = 202,296 : x
  2. Step 2: Convert to fraction form
    93,384/202,296 = 202,296/x
  3. Step 3: Cross multiply
    93,384x = 202,296 × 202,296
  4. Step 4: Simplify right side
    93,384x = 40,923,671,616
  5. Step 5: Solve for x
    x = 40,923,671,616/93,384
  6. Step 6: Final answer
    x = 438,230.01

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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.