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Finding the Third Proportional to 176,533 and 388,697

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Solution

The third proportional to 176,533 and 388,697 is: 855,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,533 : 388,697 = 388,697 : x
  2. Step 2: Convert to fraction form
    176,533/388,697 = 388,697/x
  3. Step 3: Cross multiply
    176,533x = 388,697 × 388,697
  4. Step 4: Simplify right side
    176,533x = 151,085,357,809
  5. Step 5: Solve for x
    x = 151,085,357,809/176,533
  6. Step 6: Final answer
    x = 855,847.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.