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Finding the Third Proportional to 301,854.09 and 408,494.39

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Solution

The third proportional to 301,854.09 and 408,494.39 is: 552,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,854.09 : 408,494.39 = 408,494.39 : x
  2. Step 2: Convert to fraction form
    301,854.09/408,494.39 = 408,494.39/x
  3. Step 3: Cross multiply
    301,854.09x = 408,494.39 × 408,494.39
  4. Step 4: Simplify right side
    301,854.09x = 166,867,667,172.09
  5. Step 5: Solve for x
    x = 166,867,667,172.09/301,854.09
  6. Step 6: Final answer
    x = 552,809.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.