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Finding the Third Proportional to 165,810.38 and 389,748.38

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Solution

The third proportional to 165,810.38 and 389,748.38 is: 916,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,810.38 : 389,748.38 = 389,748.38 : x
  2. Step 2: Convert to fraction form
    165,810.38/389,748.38 = 389,748.38/x
  3. Step 3: Cross multiply
    165,810.38x = 389,748.38 × 389,748.38
  4. Step 4: Simplify right side
    165,810.38x = 151,903,795,815.14
  5. Step 5: Solve for x
    x = 151,903,795,815.14/165,810.38
  6. Step 6: Final answer
    x = 916,129.62

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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.