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Finding the Third Proportional to 305,712.28 and 664,101.56

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Solution

The third proportional to 305,712.28 and 664,101.56 is: 1,442,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,712.28 : 664,101.56 = 664,101.56 : x
  2. Step 2: Convert to fraction form
    305,712.28/664,101.56 = 664,101.56/x
  3. Step 3: Cross multiply
    305,712.28x = 664,101.56 × 664,101.56
  4. Step 4: Simplify right side
    305,712.28x = 441,030,885,314.94
  5. Step 5: Solve for x
    x = 441,030,885,314.94/305,712.28
  6. Step 6: Final answer
    x = 1,442,633.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.