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Finding the Third Proportional to 457,908.75 and 673,142.63

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Solution

The third proportional to 457,908.75 and 673,142.63 is: 989,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,908.75 : 673,142.63 = 673,142.63 : x
  2. Step 2: Convert to fraction form
    457,908.75/673,142.63 = 673,142.63/x
  3. Step 3: Cross multiply
    457,908.75x = 673,142.63 × 673,142.63
  4. Step 4: Simplify right side
    457,908.75x = 453,120,993,591.89
  5. Step 5: Solve for x
    x = 453,120,993,591.89/457,908.75
  6. Step 6: Final answer
    x = 989,544.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.