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Finding the Third Proportional to 93,808 and 197,336

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Solution

The third proportional to 93,808 and 197,336 is: 415,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,808 : 197,336 = 197,336 : x
  2. Step 2: Convert to fraction form
    93,808/197,336 = 197,336/x
  3. Step 3: Cross multiply
    93,808x = 197,336 × 197,336
  4. Step 4: Simplify right side
    93,808x = 38,941,496,896
  5. Step 5: Solve for x
    x = 38,941,496,896/93,808
  6. Step 6: Final answer
    x = 415,119.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.