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Finding the Third Proportional to 125,469 and 257,055

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Solution

The third proportional to 125,469 and 257,055 is: 526,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469 : 257,055 = 257,055 : x
  2. Step 2: Convert to fraction form
    125,469/257,055 = 257,055/x
  3. Step 3: Cross multiply
    125,469x = 257,055 × 257,055
  4. Step 4: Simplify right side
    125,469x = 66,077,273,025
  5. Step 5: Solve for x
    x = 66,077,273,025/125,469
  6. Step 6: Final answer
    x = 526,642.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.