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Finding the Third Proportional to 458,308.13 and 673,414.88

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Solution

The third proportional to 458,308.13 and 673,414.88 is: 989,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,308.13 : 673,414.88 = 673,414.88 : x
  2. Step 2: Convert to fraction form
    458,308.13/673,414.88 = 673,414.88/x
  3. Step 3: Cross multiply
    458,308.13x = 673,414.88 × 673,414.88
  4. Step 4: Simplify right side
    458,308.13x = 453,487,593,871.27
  5. Step 5: Solve for x
    x = 453,487,593,871.27/458,308.13
  6. Step 6: Final answer
    x = 989,481.90

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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.