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Finding the Third Proportional to 165,018 and 257,385

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Solution

The third proportional to 165,018 and 257,385 is: 401,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,018 : 257,385 = 257,385 : x
  2. Step 2: Convert to fraction form
    165,018/257,385 = 257,385/x
  3. Step 3: Cross multiply
    165,018x = 257,385 × 257,385
  4. Step 4: Simplify right side
    165,018x = 66,247,038,225
  5. Step 5: Solve for x
    x = 66,247,038,225/165,018
  6. Step 6: Final answer
    x = 401,453.41

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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.