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Finding the Third Proportional to 179,532 and 388,780

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Solution

The third proportional to 179,532 and 388,780 is: 841,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,532 : 388,780 = 388,780 : x
  2. Step 2: Convert to fraction form
    179,532/388,780 = 388,780/x
  3. Step 3: Cross multiply
    179,532x = 388,780 × 388,780
  4. Step 4: Simplify right side
    179,532x = 151,149,888,400
  5. Step 5: Solve for x
    x = 151,149,888,400/179,532
  6. Step 6: Final answer
    x = 841,910.57

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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.