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Finding the Third Proportional to 76,623 and 178,056

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Solution

The third proportional to 76,623 and 178,056 is: 413,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623 : 178,056 = 178,056 : x
  2. Step 2: Convert to fraction form
    76,623/178,056 = 178,056/x
  3. Step 3: Cross multiply
    76,623x = 178,056 × 178,056
  4. Step 4: Simplify right side
    76,623x = 31,703,939,136
  5. Step 5: Solve for x
    x = 31,703,939,136/76,623
  6. Step 6: Final answer
    x = 413,765.31

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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.