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Finding the Third Proportional to 276,839.44 and 427,064.34

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Solution

The third proportional to 276,839.44 and 427,064.34 is: 658,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,839.44 : 427,064.34 = 427,064.34 : x
  2. Step 2: Convert to fraction form
    276,839.44/427,064.34 = 427,064.34/x
  3. Step 3: Cross multiply
    276,839.44x = 427,064.34 × 427,064.34
  4. Step 4: Simplify right side
    276,839.44x = 182,383,953,702.62
  5. Step 5: Solve for x
    x = 182,383,953,702.62/276,839.44
  6. Step 6: Final answer
    x = 658,807.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.