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Finding the Third Proportional to 165,897 and 256,189.50

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Solution

The third proportional to 165,897 and 256,189.50 is: 395,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,897 : 256,189.50 = 256,189.50 : x
  2. Step 2: Convert to fraction form
    165,897/256,189.50 = 256,189.50/x
  3. Step 3: Cross multiply
    165,897x = 256,189.50 × 256,189.50
  4. Step 4: Simplify right side
    165,897x = 65,633,059,910.25
  5. Step 5: Solve for x
    x = 65,633,059,910.25/165,897
  6. Step 6: Final answer
    x = 395,625.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.