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Finding the Third Proportional to 166,830 and 251,685

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Solution

The third proportional to 166,830 and 251,685 is: 379,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,830 : 251,685 = 251,685 : x
  2. Step 2: Convert to fraction form
    166,830/251,685 = 251,685/x
  3. Step 3: Cross multiply
    166,830x = 251,685 × 251,685
  4. Step 4: Simplify right side
    166,830x = 63,345,339,225
  5. Step 5: Solve for x
    x = 63,345,339,225/166,830
  6. Step 6: Final answer
    x = 379,699.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.