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Finding the Third Proportional to 93,543 and 202,050

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Solution

The third proportional to 93,543 and 202,050 is: 436,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,543 : 202,050 = 202,050 : x
  2. Step 2: Convert to fraction form
    93,543/202,050 = 202,050/x
  3. Step 3: Cross multiply
    93,543x = 202,050 × 202,050
  4. Step 4: Simplify right side
    93,543x = 40,824,202,500
  5. Step 5: Solve for x
    x = 40,824,202,500/93,543
  6. Step 6: Final answer
    x = 436,421.78

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Why These Related Problems?

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