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Finding the Third Proportional to 409,220 and 620,148

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Solution

The third proportional to 409,220 and 620,148 is: 939,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,220 : 620,148 = 620,148 : x
  2. Step 2: Convert to fraction form
    409,220/620,148 = 620,148/x
  3. Step 3: Cross multiply
    409,220x = 620,148 × 620,148
  4. Step 4: Simplify right side
    409,220x = 384,583,541,904
  5. Step 5: Solve for x
    x = 384,583,541,904/409,220
  6. Step 6: Final answer
    x = 939,796.54

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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.