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Finding the Third Proportional to 78,469 and 172,772

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Solution

The third proportional to 78,469 and 172,772 is: 380,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469 : 172,772 = 172,772 : x
  2. Step 2: Convert to fraction form
    78,469/172,772 = 172,772/x
  3. Step 3: Cross multiply
    78,469x = 172,772 × 172,772
  4. Step 4: Simplify right side
    78,469x = 29,850,163,984
  5. Step 5: Solve for x
    x = 29,850,163,984/78,469
  6. Step 6: Final answer
    x = 380,407.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.