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Finding the Third Proportional to 93,580 and 204,654

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Solution

The third proportional to 93,580 and 204,654 is: 447,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,580 : 204,654 = 204,654 : x
  2. Step 2: Convert to fraction form
    93,580/204,654 = 204,654/x
  3. Step 3: Cross multiply
    93,580x = 204,654 × 204,654
  4. Step 4: Simplify right side
    93,580x = 41,883,259,716
  5. Step 5: Solve for x
    x = 41,883,259,716/93,580
  6. Step 6: Final answer
    x = 447,566.36

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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.