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Finding the Third Proportional to 410,170 and 620,721

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Solution

The third proportional to 410,170 and 620,721 is: 939,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,170 : 620,721 = 620,721 : x
  2. Step 2: Convert to fraction form
    410,170/620,721 = 620,721/x
  3. Step 3: Cross multiply
    410,170x = 620,721 × 620,721
  4. Step 4: Simplify right side
    410,170x = 385,294,559,841
  5. Step 5: Solve for x
    x = 385,294,559,841/410,170
  6. Step 6: Final answer
    x = 939,353.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.