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Finding the Third Proportional to 154,172 and 238,589

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Solution

The third proportional to 154,172 and 238,589 is: 369,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,172 : 238,589 = 238,589 : x
  2. Step 2: Convert to fraction form
    154,172/238,589 = 238,589/x
  3. Step 3: Cross multiply
    154,172x = 238,589 × 238,589
  4. Step 4: Simplify right side
    154,172x = 56,924,710,921
  5. Step 5: Solve for x
    x = 56,924,710,921/154,172
  6. Step 6: Final answer
    x = 369,228.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.