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Finding the Third Proportional to 145,512 and 218,809

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Solution

The third proportional to 145,512 and 218,809 is: 329,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,512 : 218,809 = 218,809 : x
  2. Step 2: Convert to fraction form
    145,512/218,809 = 218,809/x
  3. Step 3: Cross multiply
    145,512x = 218,809 × 218,809
  4. Step 4: Simplify right side
    145,512x = 47,877,378,481
  5. Step 5: Solve for x
    x = 47,877,378,481/145,512
  6. Step 6: Final answer
    x = 329,027.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.