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Finding the Third Proportional to 172,740 and 366,072

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Solution

The third proportional to 172,740 and 366,072 is: 775,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,740 : 366,072 = 366,072 : x
  2. Step 2: Convert to fraction form
    172,740/366,072 = 366,072/x
  3. Step 3: Cross multiply
    172,740x = 366,072 × 366,072
  4. Step 4: Simplify right side
    172,740x = 134,008,709,184
  5. Step 5: Solve for x
    x = 134,008,709,184/172,740
  6. Step 6: Final answer
    x = 775,782.73

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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.