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Finding the Third Proportional to 190,176 and 408,432

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Solution

The third proportional to 190,176 and 408,432 is: 877,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,176 : 408,432 = 408,432 : x
  2. Step 2: Convert to fraction form
    190,176/408,432 = 408,432/x
  3. Step 3: Cross multiply
    190,176x = 408,432 × 408,432
  4. Step 4: Simplify right side
    190,176x = 166,816,698,624
  5. Step 5: Solve for x
    x = 166,816,698,624/190,176
  6. Step 6: Final answer
    x = 877,170.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.