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Finding the Third Proportional to 170,077 and 371,239

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Solution

The third proportional to 170,077 and 371,239 is: 810,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,077 : 371,239 = 371,239 : x
  2. Step 2: Convert to fraction form
    170,077/371,239 = 371,239/x
  3. Step 3: Cross multiply
    170,077x = 371,239 × 371,239
  4. Step 4: Simplify right side
    170,077x = 137,818,395,121
  5. Step 5: Solve for x
    x = 137,818,395,121/170,077
  6. Step 6: Final answer
    x = 810,329.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.