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Finding the Third Proportional to 190,271 and 405,875

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Solution

The third proportional to 190,271 and 405,875 is: 865,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,271 : 405,875 = 405,875 : x
  2. Step 2: Convert to fraction form
    190,271/405,875 = 405,875/x
  3. Step 3: Cross multiply
    190,271x = 405,875 × 405,875
  4. Step 4: Simplify right side
    190,271x = 164,734,515,625
  5. Step 5: Solve for x
    x = 164,734,515,625/190,271
  6. Step 6: Final answer
    x = 865,788.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.