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Finding the Third Proportional to 283,322 and 442,215

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Solution

The third proportional to 283,322 and 442,215 is: 690,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,322 : 442,215 = 442,215 : x
  2. Step 2: Convert to fraction form
    283,322/442,215 = 442,215/x
  3. Step 3: Cross multiply
    283,322x = 442,215 × 442,215
  4. Step 4: Simplify right side
    283,322x = 195,554,106,225
  5. Step 5: Solve for x
    x = 195,554,106,225/283,322
  6. Step 6: Final answer
    x = 690,218.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.