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Finding the Third Proportional to 165,854 and 389,841

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Solution

The third proportional to 165,854 and 389,841 is: 916,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,854 : 389,841 = 389,841 : x
  2. Step 2: Convert to fraction form
    165,854/389,841 = 389,841/x
  3. Step 3: Cross multiply
    165,854x = 389,841 × 389,841
  4. Step 4: Simplify right side
    165,854x = 151,976,005,281
  5. Step 5: Solve for x
    x = 151,976,005,281/165,854
  6. Step 6: Final answer
    x = 916,324.03

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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.