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Finding the Third Proportional to 389,499 and 818,355

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Solution

The third proportional to 389,499 and 818,355 is: 1,719,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,499 : 818,355 = 818,355 : x
  2. Step 2: Convert to fraction form
    389,499/818,355 = 818,355/x
  3. Step 3: Cross multiply
    389,499x = 818,355 × 818,355
  4. Step 4: Simplify right side
    389,499x = 669,704,906,025
  5. Step 5: Solve for x
    x = 669,704,906,025/389,499
  6. Step 6: Final answer
    x = 1,719,400.84

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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.