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Finding the Third Proportional to 178,814 and 389,692

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Solution

The third proportional to 178,814 and 389,692 is: 849,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,814 : 389,692 = 389,692 : x
  2. Step 2: Convert to fraction form
    178,814/389,692 = 389,692/x
  3. Step 3: Cross multiply
    178,814x = 389,692 × 389,692
  4. Step 4: Simplify right side
    178,814x = 151,859,854,864
  5. Step 5: Solve for x
    x = 151,859,854,864/178,814
  6. Step 6: Final answer
    x = 849,261.55

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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.