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Finding the Third Proportional to 93,842 and 204,053

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Solution

The third proportional to 93,842 and 204,053 is: 443,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,842 : 204,053 = 204,053 : x
  2. Step 2: Convert to fraction form
    93,842/204,053 = 204,053/x
  3. Step 3: Cross multiply
    93,842x = 204,053 × 204,053
  4. Step 4: Simplify right side
    93,842x = 41,637,626,809
  5. Step 5: Solve for x
    x = 41,637,626,809/93,842
  6. Step 6: Final answer
    x = 443,699.27

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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.