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Finding the Third Proportional to 178,266 and 388,518

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Solution

The third proportional to 178,266 and 388,518 is: 846,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,266 : 388,518 = 388,518 : x
  2. Step 2: Convert to fraction form
    178,266/388,518 = 388,518/x
  3. Step 3: Cross multiply
    178,266x = 388,518 × 388,518
  4. Step 4: Simplify right side
    178,266x = 150,946,236,324
  5. Step 5: Solve for x
    x = 150,946,236,324/178,266
  6. Step 6: Final answer
    x = 846,747.20

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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.