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Finding the Third Proportional to 93,703 and 206,066

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Solution

The third proportional to 93,703 and 206,066 is: 453,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,703 : 206,066 = 206,066 : x
  2. Step 2: Convert to fraction form
    93,703/206,066 = 206,066/x
  3. Step 3: Cross multiply
    93,703x = 206,066 × 206,066
  4. Step 4: Simplify right side
    93,703x = 42,463,196,356
  5. Step 5: Solve for x
    x = 42,463,196,356/93,703
  6. Step 6: Final answer
    x = 453,167.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.