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Finding the Third Proportional to 301,319.05 and 409,229.56

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Solution

The third proportional to 301,319.05 and 409,229.56 is: 555,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,319.05 : 409,229.56 = 409,229.56 : x
  2. Step 2: Convert to fraction form
    301,319.05/409,229.56 = 409,229.56/x
  3. Step 3: Cross multiply
    301,319.05x = 409,229.56 × 409,229.56
  4. Step 4: Simplify right side
    301,319.05x = 167,468,833,225.36
  5. Step 5: Solve for x
    x = 167,468,833,225.36/301,319.05
  6. Step 6: Final answer
    x = 555,785.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.