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Finding the Third Proportional to 389,504 and 818,364

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Solution

The third proportional to 389,504 and 818,364 is: 1,719,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,504 : 818,364 = 818,364 : x
  2. Step 2: Convert to fraction form
    389,504/818,364 = 818,364/x
  3. Step 3: Cross multiply
    389,504x = 818,364 × 818,364
  4. Step 4: Simplify right side
    389,504x = 669,719,636,496
  5. Step 5: Solve for x
    x = 669,719,636,496/389,504
  6. Step 6: Final answer
    x = 1,719,416.58

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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.