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Finding the Third Proportional to 93,126 and 203,724

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Solution

The third proportional to 93,126 and 203,724 is: 445,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,126 : 203,724 = 203,724 : x
  2. Step 2: Convert to fraction form
    93,126/203,724 = 203,724/x
  3. Step 3: Cross multiply
    93,126x = 203,724 × 203,724
  4. Step 4: Simplify right side
    93,126x = 41,503,468,176
  5. Step 5: Solve for x
    x = 41,503,468,176/93,126
  6. Step 6: Final answer
    x = 445,670.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.