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Finding the Third Proportional to 234,405 and 485,418

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Solution

The third proportional to 234,405 and 485,418 is: 1,005,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,405 : 485,418 = 485,418 : x
  2. Step 2: Convert to fraction form
    234,405/485,418 = 485,418/x
  3. Step 3: Cross multiply
    234,405x = 485,418 × 485,418
  4. Step 4: Simplify right side
    234,405x = 235,630,634,724
  5. Step 5: Solve for x
    x = 235,630,634,724/234,405
  6. Step 6: Final answer
    x = 1,005,228.71

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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.