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Finding the Third Proportional to 178,632 and 388,260

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Solution

The third proportional to 178,632 and 388,260 is: 843,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,632 : 388,260 = 388,260 : x
  2. Step 2: Convert to fraction form
    178,632/388,260 = 388,260/x
  3. Step 3: Cross multiply
    178,632x = 388,260 × 388,260
  4. Step 4: Simplify right side
    178,632x = 150,745,827,600
  5. Step 5: Solve for x
    x = 150,745,827,600/178,632
  6. Step 6: Final answer
    x = 843,890.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.