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Finding the Third Proportional to 330,480 and 445,896

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Solution

The third proportional to 330,480 and 445,896 is: 601,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,480 : 445,896 = 445,896 : x
  2. Step 2: Convert to fraction form
    330,480/445,896 = 445,896/x
  3. Step 3: Cross multiply
    330,480x = 445,896 × 445,896
  4. Step 4: Simplify right side
    330,480x = 198,823,242,816
  5. Step 5: Solve for x
    x = 198,823,242,816/330,480
  6. Step 6: Final answer
    x = 601,619.59

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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.