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Finding the Third Proportional to 301,282.88 and 399,843

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Solution

The third proportional to 301,282.88 and 399,843 is: 530,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,282.88 : 399,843 = 399,843 : x
  2. Step 2: Convert to fraction form
    301,282.88/399,843 = 399,843/x
  3. Step 3: Cross multiply
    301,282.88x = 399,843 × 399,843
  4. Step 4: Simplify right side
    301,282.88x = 159,874,424,649
  5. Step 5: Solve for x
    x = 159,874,424,649/301,282.88
  6. Step 6: Final answer
    x = 530,645.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.