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Finding the Third Proportional to 178,609 and 243,235

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Solution

The third proportional to 178,609 and 243,235 is: 331,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,609 : 243,235 = 243,235 : x
  2. Step 2: Convert to fraction form
    178,609/243,235 = 243,235/x
  3. Step 3: Cross multiply
    178,609x = 243,235 × 243,235
  4. Step 4: Simplify right side
    178,609x = 59,163,265,225
  5. Step 5: Solve for x
    x = 59,163,265,225/178,609
  6. Step 6: Final answer
    x = 331,244.59

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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.