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Finding the Third Proportional to 190,098 and 408,275

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Solution

The third proportional to 190,098 and 408,275 is: 876,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,098 : 408,275 = 408,275 : x
  2. Step 2: Convert to fraction form
    190,098/408,275 = 408,275/x
  3. Step 3: Cross multiply
    190,098x = 408,275 × 408,275
  4. Step 4: Simplify right side
    190,098x = 166,688,475,625
  5. Step 5: Solve for x
    x = 166,688,475,625/190,098
  6. Step 6: Final answer
    x = 876,855.49

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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.