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Finding the Third Proportional to 428,593.89 and 583,764.79

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Solution

The third proportional to 428,593.89 and 583,764.79 is: 795,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,593.89 : 583,764.79 = 583,764.79 : x
  2. Step 2: Convert to fraction form
    428,593.89/583,764.79 = 583,764.79/x
  3. Step 3: Cross multiply
    428,593.89x = 583,764.79 × 583,764.79
  4. Step 4: Simplify right side
    428,593.89x = 340,781,324,388.52
  5. Step 5: Solve for x
    x = 340,781,324,388.52/428,593.89
  6. Step 6: Final answer
    x = 795,114.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.