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Finding the Third Proportional to 178,596 and 243,213

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Solution

The third proportional to 178,596 and 243,213 is: 331,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,596 : 243,213 = 243,213 : x
  2. Step 2: Convert to fraction form
    178,596/243,213 = 243,213/x
  3. Step 3: Cross multiply
    178,596x = 243,213 × 243,213
  4. Step 4: Simplify right side
    178,596x = 59,152,563,369
  5. Step 5: Solve for x
    x = 59,152,563,369/178,596
  6. Step 6: Final answer
    x = 331,208.78

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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.