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Finding the Third Proportional to 165,000 and 257,355

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Solution

The third proportional to 165,000 and 257,355 is: 401,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,000 : 257,355 = 257,355 : x
  2. Step 2: Convert to fraction form
    165,000/257,355 = 257,355/x
  3. Step 3: Cross multiply
    165,000x = 257,355 × 257,355
  4. Step 4: Simplify right side
    165,000x = 66,231,596,025
  5. Step 5: Solve for x
    x = 66,231,596,025/165,000
  6. Step 6: Final answer
    x = 401,403.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.