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Finding the Third Proportional to 76,450 and 164,553

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Solution

The third proportional to 76,450 and 164,553 is: 354,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,450 : 164,553 = 164,553 : x
  2. Step 2: Convert to fraction form
    76,450/164,553 = 164,553/x
  3. Step 3: Cross multiply
    76,450x = 164,553 × 164,553
  4. Step 4: Simplify right side
    76,450x = 27,077,689,809
  5. Step 5: Solve for x
    x = 27,077,689,809/76,450
  6. Step 6: Final answer
    x = 354,188.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.