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Finding the Third Proportional to 234,319 and 485,255

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Solution

The third proportional to 234,319 and 485,255 is: 1,004,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,319 : 485,255 = 485,255 : x
  2. Step 2: Convert to fraction form
    234,319/485,255 = 485,255/x
  3. Step 3: Cross multiply
    234,319x = 485,255 × 485,255
  4. Step 4: Simplify right side
    234,319x = 235,472,415,025
  5. Step 5: Solve for x
    x = 235,472,415,025/234,319
  6. Step 6: Final answer
    x = 1,004,922.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.