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Finding the Third Proportional to 76,426 and 167,980

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Solution

The third proportional to 76,426 and 167,980 is: 369,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,426 : 167,980 = 167,980 : x
  2. Step 2: Convert to fraction form
    76,426/167,980 = 167,980/x
  3. Step 3: Cross multiply
    76,426x = 167,980 × 167,980
  4. Step 4: Simplify right side
    76,426x = 28,217,280,400
  5. Step 5: Solve for x
    x = 28,217,280,400/76,426
  6. Step 6: Final answer
    x = 369,210.48

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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.