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Finding the Third Proportional to 177,128 and 383,200

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Solution

The third proportional to 177,128 and 383,200 is: 829,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,128 : 383,200 = 383,200 : x
  2. Step 2: Convert to fraction form
    177,128/383,200 = 383,200/x
  3. Step 3: Cross multiply
    177,128x = 383,200 × 383,200
  4. Step 4: Simplify right side
    177,128x = 146,842,240,000
  5. Step 5: Solve for x
    x = 146,842,240,000/177,128
  6. Step 6: Final answer
    x = 829,017.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.