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Finding the Third Proportional to 145,398 and 218,825

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Solution

The third proportional to 145,398 and 218,825 is: 329,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,398 : 218,825 = 218,825 : x
  2. Step 2: Convert to fraction form
    145,398/218,825 = 218,825/x
  3. Step 3: Cross multiply
    145,398x = 218,825 × 218,825
  4. Step 4: Simplify right side
    145,398x = 47,884,380,625
  5. Step 5: Solve for x
    x = 47,884,380,625/145,398
  6. Step 6: Final answer
    x = 329,333.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.