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Finding the Third Proportional to 81,734 and 172,340

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Solution

The third proportional to 81,734 and 172,340 is: 363,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,734 : 172,340 = 172,340 : x
  2. Step 2: Convert to fraction form
    81,734/172,340 = 172,340/x
  3. Step 3: Cross multiply
    81,734x = 172,340 × 172,340
  4. Step 4: Simplify right side
    81,734x = 29,701,075,600
  5. Step 5: Solve for x
    x = 29,701,075,600/81,734
  6. Step 6: Final answer
    x = 363,387.03

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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.