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Finding the Third Proportional to 178,440 and 371,682

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Solution

The third proportional to 178,440 and 371,682 is: 774,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,440 : 371,682 = 371,682 : x
  2. Step 2: Convert to fraction form
    178,440/371,682 = 371,682/x
  3. Step 3: Cross multiply
    178,440x = 371,682 × 371,682
  4. Step 4: Simplify right side
    178,440x = 138,147,509,124
  5. Step 5: Solve for x
    x = 138,147,509,124/178,440
  6. Step 6: Final answer
    x = 774,195.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.