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Finding the Third Proportional to 172,106.65 and 374,834.14

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Solution

The third proportional to 172,106.65 and 374,834.14 is: 816,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,106.65 : 374,834.14 = 374,834.14 : x
  2. Step 2: Convert to fraction form
    172,106.65/374,834.14 = 374,834.14/x
  3. Step 3: Cross multiply
    172,106.65x = 374,834.14 × 374,834.14
  4. Step 4: Simplify right side
    172,106.65x = 140,500,635,906.47
  5. Step 5: Solve for x
    x = 140,500,635,906.47/172,106.65
  6. Step 6: Final answer
    x = 816,357.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.