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Finding the Third Proportional to 76,466 and 177,783

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Solution

The third proportional to 76,466 and 177,783 is: 413,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466 : 177,783 = 177,783 : x
  2. Step 2: Convert to fraction form
    76,466/177,783 = 177,783/x
  3. Step 3: Cross multiply
    76,466x = 177,783 × 177,783
  4. Step 4: Simplify right side
    76,466x = 31,606,795,089
  5. Step 5: Solve for x
    x = 31,606,795,089/76,466
  6. Step 6: Final answer
    x = 413,344.43

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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.