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Finding the Third Proportional to 291,323.25 and 457,764.75

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Solution

The third proportional to 291,323.25 and 457,764.75 is: 719,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,323.25 : 457,764.75 = 457,764.75 : x
  2. Step 2: Convert to fraction form
    291,323.25/457,764.75 = 457,764.75/x
  3. Step 3: Cross multiply
    291,323.25x = 457,764.75 × 457,764.75
  4. Step 4: Simplify right side
    291,323.25x = 209,548,566,342.56
  5. Step 5: Solve for x
    x = 209,548,566,342.56/291,323.25
  6. Step 6: Final answer
    x = 719,299.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.