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Finding the Third Proportional to 283,102.73 and 428,775.05

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Solution

The third proportional to 283,102.73 and 428,775.05 is: 649,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,102.73 : 428,775.05 = 428,775.05 : x
  2. Step 2: Convert to fraction form
    283,102.73/428,775.05 = 428,775.05/x
  3. Step 3: Cross multiply
    283,102.73x = 428,775.05 × 428,775.05
  4. Step 4: Simplify right side
    283,102.73x = 183,848,040,822.66
  5. Step 5: Solve for x
    x = 183,848,040,822.66/283,102.73
  6. Step 6: Final answer
    x = 649,403.97

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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.