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Finding the Third Proportional to 93,091.50 and 200,946.38

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Solution

The third proportional to 93,091.50 and 200,946.38 is: 433,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,091.50 : 200,946.38 = 200,946.38 : x
  2. Step 2: Convert to fraction form
    93,091.50/200,946.38 = 200,946.38/x
  3. Step 3: Cross multiply
    93,091.50x = 200,946.38 × 200,946.38
  4. Step 4: Simplify right side
    93,091.50x = 40,379,445,625.64
  5. Step 5: Solve for x
    x = 40,379,445,625.64/93,091.50
  6. Step 6: Final answer
    x = 433,760.82

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