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Finding the Third Proportional to 389,712 and 620,589

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Solution

The third proportional to 389,712 and 620,589 is: 988,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,712 : 620,589 = 620,589 : x
  2. Step 2: Convert to fraction form
    389,712/620,589 = 620,589/x
  3. Step 3: Cross multiply
    389,712x = 620,589 × 620,589
  4. Step 4: Simplify right side
    389,712x = 385,130,706,921
  5. Step 5: Solve for x
    x = 385,130,706,921/389,712
  6. Step 6: Final answer
    x = 988,244.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.