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Finding the Third Proportional to 389,718 and 620,596

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Solution

The third proportional to 389,718 and 620,596 is: 988,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,718 : 620,596 = 620,596 : x
  2. Step 2: Convert to fraction form
    389,718/620,596 = 620,596/x
  3. Step 3: Cross multiply
    389,718x = 620,596 × 620,596
  4. Step 4: Simplify right side
    389,718x = 385,139,395,216
  5. Step 5: Solve for x
    x = 385,139,395,216/389,718
  6. Step 6: Final answer
    x = 988,251.49

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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.