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Finding the Third Proportional to 389,318 and 840,780

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Solution

The third proportional to 389,318 and 840,780 is: 1,815,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,318 : 840,780 = 840,780 : x
  2. Step 2: Convert to fraction form
    389,318/840,780 = 840,780/x
  3. Step 3: Cross multiply
    389,318x = 840,780 × 840,780
  4. Step 4: Simplify right side
    389,318x = 706,911,008,400
  5. Step 5: Solve for x
    x = 706,911,008,400/389,318
  6. Step 6: Final answer
    x = 1,815,767.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.