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Finding the Third Proportional to 178,238 and 242,129

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Solution

The third proportional to 178,238 and 242,129 is: 328,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,238 : 242,129 = 242,129 : x
  2. Step 2: Convert to fraction form
    178,238/242,129 = 242,129/x
  3. Step 3: Cross multiply
    178,238x = 242,129 × 242,129
  4. Step 4: Simplify right side
    178,238x = 58,626,452,641
  5. Step 5: Solve for x
    x = 58,626,452,641/178,238
  6. Step 6: Final answer
    x = 328,922.30

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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.