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Finding the Third Proportional to 81,896 and 172,044

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Solution

The third proportional to 81,896 and 172,044 is: 361,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,896 : 172,044 = 172,044 : x
  2. Step 2: Convert to fraction form
    81,896/172,044 = 172,044/x
  3. Step 3: Cross multiply
    81,896x = 172,044 × 172,044
  4. Step 4: Simplify right side
    81,896x = 29,599,137,936
  5. Step 5: Solve for x
    x = 29,599,137,936/81,896
  6. Step 6: Final answer
    x = 361,423.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.