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Finding the Third Proportional to 457,906.13 and 673,139.25

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Solution

The third proportional to 457,906.13 and 673,139.25 is: 989,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,906.13 : 673,139.25 = 673,139.25 : x
  2. Step 2: Convert to fraction form
    457,906.13/673,139.25 = 673,139.25/x
  3. Step 3: Cross multiply
    457,906.13x = 673,139.25 × 673,139.25
  4. Step 4: Simplify right side
    457,906.13x = 453,116,449,890.56
  5. Step 5: Solve for x
    x = 453,116,449,890.56/457,906.13
  6. Step 6: Final answer
    x = 989,540.05

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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.