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Finding the Third Proportional to 189,654 and 405,228

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Solution

The third proportional to 189,654 and 405,228 is: 865,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,654 : 405,228 = 405,228 : x
  2. Step 2: Convert to fraction form
    189,654/405,228 = 405,228/x
  3. Step 3: Cross multiply
    189,654x = 405,228 × 405,228
  4. Step 4: Simplify right side
    189,654x = 164,209,731,984
  5. Step 5: Solve for x
    x = 164,209,731,984/189,654
  6. Step 6: Final answer
    x = 865,838.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.