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Finding the Third Proportional to 178,242 and 242,134

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Solution

The third proportional to 178,242 and 242,134 is: 328,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,242 : 242,134 = 242,134 : x
  2. Step 2: Convert to fraction form
    178,242/242,134 = 242,134/x
  3. Step 3: Cross multiply
    178,242x = 242,134 × 242,134
  4. Step 4: Simplify right side
    178,242x = 58,628,873,956
  5. Step 5: Solve for x
    x = 58,628,873,956/178,242
  6. Step 6: Final answer
    x = 328,928.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.