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Finding the Third Proportional to 67,576 and 156,420

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Solution

The third proportional to 67,576 and 156,420 is: 362,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,576 : 156,420 = 156,420 : x
  2. Step 2: Convert to fraction form
    67,576/156,420 = 156,420/x
  3. Step 3: Cross multiply
    67,576x = 156,420 × 156,420
  4. Step 4: Simplify right side
    67,576x = 24,467,216,400
  5. Step 5: Solve for x
    x = 24,467,216,400/67,576
  6. Step 6: Final answer
    x = 362,069.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.