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Finding the Third Proportional to 165,040 and 257,420

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Solution

The third proportional to 165,040 and 257,420 is: 401,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,040 : 257,420 = 257,420 : x
  2. Step 2: Convert to fraction form
    165,040/257,420 = 257,420/x
  3. Step 3: Cross multiply
    165,040x = 257,420 × 257,420
  4. Step 4: Simplify right side
    165,040x = 66,265,056,400
  5. Step 5: Solve for x
    x = 66,265,056,400/165,040
  6. Step 6: Final answer
    x = 401,509.07

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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.