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Finding the Third Proportional to 409,901 and 620,570

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Solution

The third proportional to 409,901 and 620,570 is: 939,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,901 : 620,570 = 620,570 : x
  2. Step 2: Convert to fraction form
    409,901/620,570 = 620,570/x
  3. Step 3: Cross multiply
    409,901x = 620,570 × 620,570
  4. Step 4: Simplify right side
    409,901x = 385,107,124,900
  5. Step 5: Solve for x
    x = 385,107,124,900/409,901
  6. Step 6: Final answer
    x = 939,512.53

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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.