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Finding the Third Proportional to 190,397 and 418,165

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Solution

The third proportional to 190,397 and 418,165 is: 918,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,397 : 418,165 = 418,165 : x
  2. Step 2: Convert to fraction form
    190,397/418,165 = 418,165/x
  3. Step 3: Cross multiply
    190,397x = 418,165 × 418,165
  4. Step 4: Simplify right side
    190,397x = 174,861,967,225
  5. Step 5: Solve for x
    x = 174,861,967,225/190,397
  6. Step 6: Final answer
    x = 918,407.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.