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Finding the Third Proportional to 283,908 and 439,533

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Solution

The third proportional to 283,908 and 439,533 is: 680,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,908 : 439,533 = 439,533 : x
  2. Step 2: Convert to fraction form
    283,908/439,533 = 439,533/x
  3. Step 3: Cross multiply
    283,908x = 439,533 × 439,533
  4. Step 4: Simplify right side
    283,908x = 193,189,258,089
  5. Step 5: Solve for x
    x = 193,189,258,089/283,908
  6. Step 6: Final answer
    x = 680,464.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.