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Finding the Third Proportional to 330,478.73 and 445,893.61

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Solution

The third proportional to 330,478.73 and 445,893.61 is: 601,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,478.73 : 445,893.61 = 445,893.61 : x
  2. Step 2: Convert to fraction form
    330,478.73/445,893.61 = 445,893.61/x
  3. Step 3: Cross multiply
    330,478.73x = 445,893.61 × 445,893.61
  4. Step 4: Simplify right side
    330,478.73x = 198,821,110,881.47
  5. Step 5: Solve for x
    x = 198,821,110,881.47/330,478.73
  6. Step 6: Final answer
    x = 601,615.45

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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.