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Finding the Third Proportional to 175,683 and 378,822

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Solution

The third proportional to 175,683 and 378,822 is: 816,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,683 : 378,822 = 378,822 : x
  2. Step 2: Convert to fraction form
    175,683/378,822 = 378,822/x
  3. Step 3: Cross multiply
    175,683x = 378,822 × 378,822
  4. Step 4: Simplify right side
    175,683x = 143,506,107,684
  5. Step 5: Solve for x
    x = 143,506,107,684/175,683
  6. Step 6: Final answer
    x = 816,846.86

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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.