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Finding the Third Proportional to 154,538 and 331,255

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Solution

The third proportional to 154,538 and 331,255 is: 710,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,538 : 331,255 = 331,255 : x
  2. Step 2: Convert to fraction form
    154,538/331,255 = 331,255/x
  3. Step 3: Cross multiply
    154,538x = 331,255 × 331,255
  4. Step 4: Simplify right side
    154,538x = 109,729,875,025
  5. Step 5: Solve for x
    x = 109,729,875,025/154,538
  6. Step 6: Final answer
    x = 710,051.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.