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Finding the Third Proportional to 283,373 and 442,286

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Solution

The third proportional to 283,373 and 442,286 is: 690,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,373 : 442,286 = 442,286 : x
  2. Step 2: Convert to fraction form
    283,373/442,286 = 442,286/x
  3. Step 3: Cross multiply
    283,373x = 442,286 × 442,286
  4. Step 4: Simplify right side
    283,373x = 195,616,905,796
  5. Step 5: Solve for x
    x = 195,616,905,796/283,373
  6. Step 6: Final answer
    x = 690,315.96

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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.