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Finding the Third Proportional to 81,582 and 172,884

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Solution

The third proportional to 81,582 and 172,884 is: 366,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,582 : 172,884 = 172,884 : x
  2. Step 2: Convert to fraction form
    81,582/172,884 = 172,884/x
  3. Step 3: Cross multiply
    81,582x = 172,884 × 172,884
  4. Step 4: Simplify right side
    81,582x = 29,888,877,456
  5. Step 5: Solve for x
    x = 29,888,877,456/81,582
  6. Step 6: Final answer
    x = 366,366.08

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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.