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Finding the Third Proportional to 190,717 and 301,931

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Solution

The third proportional to 190,717 and 301,931 is: 477,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,717 : 301,931 = 301,931 : x
  2. Step 2: Convert to fraction form
    190,717/301,931 = 301,931/x
  3. Step 3: Cross multiply
    190,717x = 301,931 × 301,931
  4. Step 4: Simplify right side
    190,717x = 91,162,328,761
  5. Step 5: Solve for x
    x = 91,162,328,761/190,717
  6. Step 6: Final answer
    x = 477,997.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.