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Finding the Third Proportional to 283,338 and 427,737

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Solution

The third proportional to 283,338 and 427,737 is: 645,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,338 : 427,737 = 427,737 : x
  2. Step 2: Convert to fraction form
    283,338/427,737 = 427,737/x
  3. Step 3: Cross multiply
    283,338x = 427,737 × 427,737
  4. Step 4: Simplify right side
    283,338x = 182,958,941,169
  5. Step 5: Solve for x
    x = 182,958,941,169/283,338
  6. Step 6: Final answer
    x = 645,726.80

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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.