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Finding the Third Proportional to 457,940 and 673,659

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Solution

The third proportional to 457,940 and 673,659 is: 990,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,940 : 673,659 = 673,659 : x
  2. Step 2: Convert to fraction form
    457,940/673,659 = 673,659/x
  3. Step 3: Cross multiply
    457,940x = 673,659 × 673,659
  4. Step 4: Simplify right side
    457,940x = 453,816,448,281
  5. Step 5: Solve for x
    x = 453,816,448,281/457,940
  6. Step 6: Final answer
    x = 990,995.43

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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.