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Finding the Third Proportional to 330,801 and 486,512.25

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Solution

The third proportional to 330,801 and 486,512.25 is: 715,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,801 : 486,512.25 = 486,512.25 : x
  2. Step 2: Convert to fraction form
    330,801/486,512.25 = 486,512.25/x
  3. Step 3: Cross multiply
    330,801x = 486,512.25 × 486,512.25
  4. Step 4: Simplify right side
    330,801x = 236,694,169,400.06
  5. Step 5: Solve for x
    x = 236,694,169,400.06/330,801
  6. Step 6: Final answer
    x = 715,518.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.