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Finding the Third Proportional to 93,772 and 200,938

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Solution

The third proportional to 93,772 and 200,938 is: 430,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,772 : 200,938 = 200,938 : x
  2. Step 2: Convert to fraction form
    93,772/200,938 = 200,938/x
  3. Step 3: Cross multiply
    93,772x = 200,938 × 200,938
  4. Step 4: Simplify right side
    93,772x = 40,376,079,844
  5. Step 5: Solve for x
    x = 40,376,079,844/93,772
  6. Step 6: Final answer
    x = 430,577.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.