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Finding the Third Proportional to 178,636 and 277,795

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Solution

The third proportional to 178,636 and 277,795 is: 431,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,636 : 277,795 = 277,795 : x
  2. Step 2: Convert to fraction form
    178,636/277,795 = 277,795/x
  3. Step 3: Cross multiply
    178,636x = 277,795 × 277,795
  4. Step 4: Simplify right side
    178,636x = 77,170,062,025
  5. Step 5: Solve for x
    x = 77,170,062,025/178,636
  6. Step 6: Final answer
    x = 431,996.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.