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Finding the Third Proportional to 93,500.50 and 202,853

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Solution

The third proportional to 93,500.50 and 202,853 is: 440,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,500.50 : 202,853 = 202,853 : x
  2. Step 2: Convert to fraction form
    93,500.50/202,853 = 202,853/x
  3. Step 3: Cross multiply
    93,500.50x = 202,853 × 202,853
  4. Step 4: Simplify right side
    93,500.50x = 41,149,339,609
  5. Step 5: Solve for x
    x = 41,149,339,609/93,500.50
  6. Step 6: Final answer
    x = 440,097.54

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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.