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Finding the Third Proportional to 389,902 and 589,101

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Solution

The third proportional to 389,902 and 589,101 is: 890,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,902 : 589,101 = 589,101 : x
  2. Step 2: Convert to fraction form
    389,902/589,101 = 589,101/x
  3. Step 3: Cross multiply
    389,902x = 589,101 × 589,101
  4. Step 4: Simplify right side
    389,902x = 347,039,988,201
  5. Step 5: Solve for x
    x = 347,039,988,201/389,902
  6. Step 6: Final answer
    x = 890,069.78

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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.