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Finding the Third Proportional to 178,954 and 389,397

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Solution

The third proportional to 178,954 and 389,397 is: 847,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,954 : 389,397 = 389,397 : x
  2. Step 2: Convert to fraction form
    178,954/389,397 = 389,397/x
  3. Step 3: Cross multiply
    178,954x = 389,397 × 389,397
  4. Step 4: Simplify right side
    178,954x = 151,630,023,609
  5. Step 5: Solve for x
    x = 151,630,023,609/178,954
  6. Step 6: Final answer
    x = 847,312.85

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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.