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Finding the Third Proportional to 178,292 and 388,570

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Solution

The third proportional to 178,292 and 388,570 is: 846,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,292 : 388,570 = 388,570 : x
  2. Step 2: Convert to fraction form
    178,292/388,570 = 388,570/x
  3. Step 3: Cross multiply
    178,292x = 388,570 × 388,570
  4. Step 4: Simplify right side
    178,292x = 150,986,644,900
  5. Step 5: Solve for x
    x = 150,986,644,900/178,292
  6. Step 6: Final answer
    x = 846,850.36

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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.