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Finding the Third Proportional to 176,543 and 388,716

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Solution

The third proportional to 176,543 and 388,716 is: 855,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,543 : 388,716 = 388,716 : x
  2. Step 2: Convert to fraction form
    176,543/388,716 = 388,716/x
  3. Step 3: Cross multiply
    176,543x = 388,716 × 388,716
  4. Step 4: Simplify right side
    176,543x = 151,100,128,656
  5. Step 5: Solve for x
    x = 151,100,128,656/176,543
  6. Step 6: Final answer
    x = 855,882.87

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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.