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Finding the Third Proportional to 180,981 and 389,710

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Solution

The third proportional to 180,981 and 389,710 is: 839,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,981 : 389,710 = 389,710 : x
  2. Step 2: Convert to fraction form
    180,981/389,710 = 389,710/x
  3. Step 3: Cross multiply
    180,981x = 389,710 × 389,710
  4. Step 4: Simplify right side
    180,981x = 151,873,884,100
  5. Step 5: Solve for x
    x = 151,873,884,100/180,981
  6. Step 6: Final answer
    x = 839,170.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.