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Finding the Third Proportional to 172,646 and 369,272

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Solution

The third proportional to 172,646 and 369,272 is: 789,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,646 : 369,272 = 369,272 : x
  2. Step 2: Convert to fraction form
    172,646/369,272 = 369,272/x
  3. Step 3: Cross multiply
    172,646x = 369,272 × 369,272
  4. Step 4: Simplify right side
    172,646x = 136,361,809,984
  5. Step 5: Solve for x
    x = 136,361,809,984/172,646
  6. Step 6: Final answer
    x = 789,834.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.