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Finding the Third Proportional to 389,512 and 818,380

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Solution

The third proportional to 389,512 and 818,380 is: 1,719,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,512 : 818,380 = 818,380 : x
  2. Step 2: Convert to fraction form
    389,512/818,380 = 818,380/x
  3. Step 3: Cross multiply
    389,512x = 818,380 × 818,380
  4. Step 4: Simplify right side
    389,512x = 669,745,824,400
  5. Step 5: Solve for x
    x = 669,745,824,400/389,512
  6. Step 6: Final answer
    x = 1,719,448.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.