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Finding the Third Proportional to 190,918 and 415,820

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Solution

The third proportional to 190,918 and 415,820 is: 905,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,918 : 415,820 = 415,820 : x
  2. Step 2: Convert to fraction form
    190,918/415,820 = 415,820/x
  3. Step 3: Cross multiply
    190,918x = 415,820 × 415,820
  4. Step 4: Simplify right side
    190,918x = 172,906,272,400
  5. Step 5: Solve for x
    x = 172,906,272,400/190,918
  6. Step 6: Final answer
    x = 905,657.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.