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Finding the Third Proportional to 76,818 and 177,951

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Solution

The third proportional to 76,818 and 177,951 is: 412,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,818 : 177,951 = 177,951 : x
  2. Step 2: Convert to fraction form
    76,818/177,951 = 177,951/x
  3. Step 3: Cross multiply
    76,818x = 177,951 × 177,951
  4. Step 4: Simplify right side
    76,818x = 31,666,558,401
  5. Step 5: Solve for x
    x = 31,666,558,401/76,818
  6. Step 6: Final answer
    x = 412,228.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.