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Finding the Third Proportional to 180,106 and 388,143

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Solution

The third proportional to 180,106 and 388,143 is: 836,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,106 : 388,143 = 388,143 : x
  2. Step 2: Convert to fraction form
    180,106/388,143 = 388,143/x
  3. Step 3: Cross multiply
    180,106x = 388,143 × 388,143
  4. Step 4: Simplify right side
    180,106x = 150,654,988,449
  5. Step 5: Solve for x
    x = 150,654,988,449/180,106
  6. Step 6: Final answer
    x = 836,479.56

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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.