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Finding the Third Proportional to 177,984 and 388,800

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Solution

The third proportional to 177,984 and 388,800 is: 849,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,984 : 388,800 = 388,800 : x
  2. Step 2: Convert to fraction form
    177,984/388,800 = 388,800/x
  3. Step 3: Cross multiply
    177,984x = 388,800 × 388,800
  4. Step 4: Simplify right side
    177,984x = 151,165,440,000
  5. Step 5: Solve for x
    x = 151,165,440,000/177,984
  6. Step 6: Final answer
    x = 849,320.39

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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.