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Finding the Third Proportional to 409,228 and 620,160

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Solution

The third proportional to 409,228 and 620,160 is: 939,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,228 : 620,160 = 620,160 : x
  2. Step 2: Convert to fraction form
    409,228/620,160 = 620,160/x
  3. Step 3: Cross multiply
    409,228x = 620,160 × 620,160
  4. Step 4: Simplify right side
    409,228x = 384,598,425,600
  5. Step 5: Solve for x
    x = 384,598,425,600/409,228
  6. Step 6: Final answer
    x = 939,814.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.