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Finding the Third Proportional to 283,356 and 427,761

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Solution

The third proportional to 283,356 and 427,761 is: 645,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,356 : 427,761 = 427,761 : x
  2. Step 2: Convert to fraction form
    283,356/427,761 = 427,761/x
  3. Step 3: Cross multiply
    283,356x = 427,761 × 427,761
  4. Step 4: Simplify right side
    283,356x = 182,979,473,121
  5. Step 5: Solve for x
    x = 182,979,473,121/283,356
  6. Step 6: Final answer
    x = 645,758.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.