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Finding the Third Proportional to 150,473 and 355,190

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Solution

The third proportional to 150,473 and 355,190 is: 838,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,473 : 355,190 = 355,190 : x
  2. Step 2: Convert to fraction form
    150,473/355,190 = 355,190/x
  3. Step 3: Cross multiply
    150,473x = 355,190 × 355,190
  4. Step 4: Simplify right side
    150,473x = 126,159,936,100
  5. Step 5: Solve for x
    x = 126,159,936,100/150,473
  6. Step 6: Final answer
    x = 838,422.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.