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Finding the Third Proportional to 190,654 and 407,479

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Solution

The third proportional to 190,654 and 407,479 is: 870,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,654 : 407,479 = 407,479 : x
  2. Step 2: Convert to fraction form
    190,654/407,479 = 407,479/x
  3. Step 3: Cross multiply
    190,654x = 407,479 × 407,479
  4. Step 4: Simplify right side
    190,654x = 166,039,135,441
  5. Step 5: Solve for x
    x = 166,039,135,441/190,654
  6. Step 6: Final answer
    x = 870,892.48

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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.