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Finding the Third Proportional to 178,288 and 388,561

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Solution

The third proportional to 178,288 and 388,561 is: 846,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,288 : 388,561 = 388,561 : x
  2. Step 2: Convert to fraction form
    178,288/388,561 = 388,561/x
  3. Step 3: Cross multiply
    178,288x = 388,561 × 388,561
  4. Step 4: Simplify right side
    178,288x = 150,979,650,721
  5. Step 5: Solve for x
    x = 150,979,650,721/178,288
  6. Step 6: Final answer
    x = 846,830.13

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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.