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Finding the Third Proportional to 283,772 and 423,195

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Solution

The third proportional to 283,772 and 423,195 is: 631,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,772 : 423,195 = 423,195 : x
  2. Step 2: Convert to fraction form
    283,772/423,195 = 423,195/x
  3. Step 3: Cross multiply
    283,772x = 423,195 × 423,195
  4. Step 4: Simplify right side
    283,772x = 179,094,008,025
  5. Step 5: Solve for x
    x = 179,094,008,025/283,772
  6. Step 6: Final answer
    x = 631,119.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.