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Finding the Third Proportional to 457,909 and 673,144

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Solution

The third proportional to 457,909 and 673,144 is: 989,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,909 : 673,144 = 673,144 : x
  2. Step 2: Convert to fraction form
    457,909/673,144 = 673,144/x
  3. Step 3: Cross multiply
    457,909x = 673,144 × 673,144
  4. Step 4: Simplify right side
    457,909x = 453,122,844,736
  5. Step 5: Solve for x
    x = 453,122,844,736/457,909
  6. Step 6: Final answer
    x = 989,547.80

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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.