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Finding the Third Proportional to 171,076 and 412,138

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Solution

The third proportional to 171,076 and 412,138 is: 992,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,076 : 412,138 = 412,138 : x
  2. Step 2: Convert to fraction form
    171,076/412,138 = 412,138/x
  3. Step 3: Cross multiply
    171,076x = 412,138 × 412,138
  4. Step 4: Simplify right side
    171,076x = 169,857,731,044
  5. Step 5: Solve for x
    x = 169,857,731,044/171,076
  6. Step 6: Final answer
    x = 992,878.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.