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Finding the Third Proportional to 178,950 and 389,389

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Solution

The third proportional to 178,950 and 389,389 is: 847,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,950 : 389,389 = 389,389 : x
  2. Step 2: Convert to fraction form
    178,950/389,389 = 389,389/x
  3. Step 3: Cross multiply
    178,950x = 389,389 × 389,389
  4. Step 4: Simplify right side
    178,950x = 151,623,793,321
  5. Step 5: Solve for x
    x = 151,623,793,321/178,950
  6. Step 6: Final answer
    x = 847,296.97

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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.