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Finding the Third Proportional to 175,689 and 378,834

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Solution

The third proportional to 175,689 and 378,834 is: 816,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,689 : 378,834 = 378,834 : x
  2. Step 2: Convert to fraction form
    175,689/378,834 = 378,834/x
  3. Step 3: Cross multiply
    175,689x = 378,834 × 378,834
  4. Step 4: Simplify right side
    175,689x = 143,515,199,556
  5. Step 5: Solve for x
    x = 143,515,199,556/175,689
  6. Step 6: Final answer
    x = 816,870.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.