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Finding the Third Proportional to 457,899 and 673,128

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Solution

The third proportional to 457,899 and 673,128 is: 989,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,899 : 673,128 = 673,128 : x
  2. Step 2: Convert to fraction form
    457,899/673,128 = 673,128/x
  3. Step 3: Cross multiply
    457,899x = 673,128 × 673,128
  4. Step 4: Simplify right side
    457,899x = 453,101,304,384
  5. Step 5: Solve for x
    x = 453,101,304,384/457,899
  6. Step 6: Final answer
    x = 989,522.37

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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.