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Finding the Third Proportional to 165,826 and 389,813

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Solution

The third proportional to 165,826 and 389,813 is: 916,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,826 : 389,813 = 389,813 : x
  2. Step 2: Convert to fraction form
    165,826/389,813 = 389,813/x
  3. Step 3: Cross multiply
    165,826x = 389,813 × 389,813
  4. Step 4: Simplify right side
    165,826x = 151,954,174,969
  5. Step 5: Solve for x
    x = 151,954,174,969/165,826
  6. Step 6: Final answer
    x = 916,347.10

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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.