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Finding the Third Proportional to 79,728 and 169,174

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Solution

The third proportional to 79,728 and 169,174 is: 358,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,728 : 169,174 = 169,174 : x
  2. Step 2: Convert to fraction form
    79,728/169,174 = 169,174/x
  3. Step 3: Cross multiply
    79,728x = 169,174 × 169,174
  4. Step 4: Simplify right side
    79,728x = 28,619,842,276
  5. Step 5: Solve for x
    x = 28,619,842,276/79,728
  6. Step 6: Final answer
    x = 358,968.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.