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Finding the Third Proportional to 81,531 and 171,927

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Solution

The third proportional to 81,531 and 171,927 is: 362,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,531 : 171,927 = 171,927 : x
  2. Step 2: Convert to fraction form
    81,531/171,927 = 171,927/x
  3. Step 3: Cross multiply
    81,531x = 171,927 × 171,927
  4. Step 4: Simplify right side
    81,531x = 29,558,893,329
  5. Step 5: Solve for x
    x = 29,558,893,329/81,531
  6. Step 6: Final answer
    x = 362,547.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.