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Finding the Third Proportional to 178,442 and 371,686

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Solution

The third proportional to 178,442 and 371,686 is: 774,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,442 : 371,686 = 371,686 : x
  2. Step 2: Convert to fraction form
    178,442/371,686 = 371,686/x
  3. Step 3: Cross multiply
    178,442x = 371,686 × 371,686
  4. Step 4: Simplify right side
    178,442x = 138,150,482,596
  5. Step 5: Solve for x
    x = 138,150,482,596/178,442
  6. Step 6: Final answer
    x = 774,203.85

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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.