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Finding the Third Proportional to 178,614 and 243,243

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Solution

The third proportional to 178,614 and 243,243 is: 331,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,614 : 243,243 = 243,243 : x
  2. Step 2: Convert to fraction form
    178,614/243,243 = 243,243/x
  3. Step 3: Cross multiply
    178,614x = 243,243 × 243,243
  4. Step 4: Simplify right side
    178,614x = 59,167,157,049
  5. Step 5: Solve for x
    x = 59,167,157,049/178,614
  6. Step 6: Final answer
    x = 331,257.11

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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.