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Finding the Third Proportional to 152,992 and 220,351

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Solution

The third proportional to 152,992 and 220,351 is: 317,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,992 : 220,351 = 220,351 : x
  2. Step 2: Convert to fraction form
    152,992/220,351 = 220,351/x
  3. Step 3: Cross multiply
    152,992x = 220,351 × 220,351
  4. Step 4: Simplify right side
    152,992x = 48,554,563,201
  5. Step 5: Solve for x
    x = 48,554,563,201/152,992
  6. Step 6: Final answer
    x = 317,366.68

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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.