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Finding the Third Proportional to 165,829 and 389,787

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Solution

The third proportional to 165,829 and 389,787 is: 916,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,829 : 389,787 = 389,787 : x
  2. Step 2: Convert to fraction form
    165,829/389,787 = 389,787/x
  3. Step 3: Cross multiply
    165,829x = 389,787 × 389,787
  4. Step 4: Simplify right side
    165,829x = 151,933,905,369
  5. Step 5: Solve for x
    x = 151,933,905,369/165,829
  6. Step 6: Final answer
    x = 916,208.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.