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Finding the Third Proportional to 389,815.50 and 839,787

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Solution

The third proportional to 389,815.50 and 839,787 is: 1,809,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,815.50 : 839,787 = 839,787 : x
  2. Step 2: Convert to fraction form
    389,815.50/839,787 = 839,787/x
  3. Step 3: Cross multiply
    389,815.50x = 839,787 × 839,787
  4. Step 4: Simplify right side
    389,815.50x = 705,242,205,369
  5. Step 5: Solve for x
    x = 705,242,205,369/389,815.50
  6. Step 6: Final answer
    x = 1,809,169.22

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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.