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Finding the Third Proportional to 71,576 and 155,485

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Solution

The third proportional to 71,576 and 155,485 is: 337,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,576 : 155,485 = 155,485 : x
  2. Step 2: Convert to fraction form
    71,576/155,485 = 155,485/x
  3. Step 3: Cross multiply
    71,576x = 155,485 × 155,485
  4. Step 4: Simplify right side
    71,576x = 24,175,585,225
  5. Step 5: Solve for x
    x = 24,175,585,225/71,576
  6. Step 6: Final answer
    x = 337,761.05

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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.