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Finding the Third Proportional to 172,968 and 378,740

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Solution

The third proportional to 172,968 and 378,740 is: 829,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,968 : 378,740 = 378,740 : x
  2. Step 2: Convert to fraction form
    172,968/378,740 = 378,740/x
  3. Step 3: Cross multiply
    172,968x = 378,740 × 378,740
  4. Step 4: Simplify right side
    172,968x = 143,443,987,600
  5. Step 5: Solve for x
    x = 143,443,987,600/172,968
  6. Step 6: Final answer
    x = 829,309.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.