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Finding the Third Proportional to 291,221.16 and 441,342.42

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Solution

The third proportional to 291,221.16 and 441,342.42 is: 668,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,221.16 : 441,342.42 = 441,342.42 : x
  2. Step 2: Convert to fraction form
    291,221.16/441,342.42 = 441,342.42/x
  3. Step 3: Cross multiply
    291,221.16x = 441,342.42 × 441,342.42
  4. Step 4: Simplify right side
    291,221.16x = 194,783,133,346.49
  5. Step 5: Solve for x
    x = 194,783,133,346.49/291,221.16
  6. Step 6: Final answer
    x = 668,849.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.