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Finding the Third Proportional to 93,136.50 and 202,474.69

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Solution

The third proportional to 93,136.50 and 202,474.69 is: 440,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,136.50 : 202,474.69 = 202,474.69 : x
  2. Step 2: Convert to fraction form
    93,136.50/202,474.69 = 202,474.69/x
  3. Step 3: Cross multiply
    93,136.50x = 202,474.69 × 202,474.69
  4. Step 4: Simplify right side
    93,136.50x = 40,995,999,078.22
  5. Step 5: Solve for x
    x = 40,995,999,078.22/93,136.50
  6. Step 6: Final answer
    x = 440,171.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.