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Finding the Third Proportional to 165,770 and 257,140

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Solution

The third proportional to 165,770 and 257,140 is: 398,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770 : 257,140 = 257,140 : x
  2. Step 2: Convert to fraction form
    165,770/257,140 = 257,140/x
  3. Step 3: Cross multiply
    165,770x = 257,140 × 257,140
  4. Step 4: Simplify right side
    165,770x = 66,120,979,600
  5. Step 5: Solve for x
    x = 66,120,979,600/165,770
  6. Step 6: Final answer
    x = 398,871.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.