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Finding the Third Proportional to 458,291.38 and 673,403.81

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Solution

The third proportional to 458,291.38 and 673,403.81 is: 989,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,291.38 : 673,403.81 = 673,403.81 : x
  2. Step 2: Convert to fraction form
    458,291.38/673,403.81 = 673,403.81/x
  3. Step 3: Cross multiply
    458,291.38x = 673,403.81 × 673,403.81
  4. Step 4: Simplify right side
    458,291.38x = 453,472,694,689.54
  5. Step 5: Solve for x
    x = 453,472,694,689.54/458,291.38
  6. Step 6: Final answer
    x = 989,485.55

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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.