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Finding the Third Proportional to 178,818 and 372,184

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Solution

The third proportional to 178,818 and 372,184 is: 774,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,818 : 372,184 = 372,184 : x
  2. Step 2: Convert to fraction form
    178,818/372,184 = 372,184/x
  3. Step 3: Cross multiply
    178,818x = 372,184 × 372,184
  4. Step 4: Simplify right side
    178,818x = 138,520,929,856
  5. Step 5: Solve for x
    x = 138,520,929,856/178,818
  6. Step 6: Final answer
    x = 774,647.57

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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.