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Finding the Third Proportional to 152,512 and 220,020

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Solution

The third proportional to 152,512 and 220,020 is: 317,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,512 : 220,020 = 220,020 : x
  2. Step 2: Convert to fraction form
    152,512/220,020 = 220,020/x
  3. Step 3: Cross multiply
    152,512x = 220,020 × 220,020
  4. Step 4: Simplify right side
    152,512x = 48,408,800,400
  5. Step 5: Solve for x
    x = 48,408,800,400/152,512
  6. Step 6: Final answer
    x = 317,409.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.