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Finding the Third Proportional to 79,495 and 172,795

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Solution

The third proportional to 79,495 and 172,795 is: 375,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,495 : 172,795 = 172,795 : x
  2. Step 2: Convert to fraction form
    79,495/172,795 = 172,795/x
  3. Step 3: Cross multiply
    79,495x = 172,795 × 172,795
  4. Step 4: Simplify right side
    79,495x = 29,858,112,025
  5. Step 5: Solve for x
    x = 29,858,112,025/79,495
  6. Step 6: Final answer
    x = 375,597.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.