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Finding the Third Proportional to 115,576 and 156,728

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Solution

The third proportional to 115,576 and 156,728 is: 212,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,576 : 156,728 = 156,728 : x
  2. Step 2: Convert to fraction form
    115,576/156,728 = 156,728/x
  3. Step 3: Cross multiply
    115,576x = 156,728 × 156,728
  4. Step 4: Simplify right side
    115,576x = 24,563,665,984
  5. Step 5: Solve for x
    x = 24,563,665,984/115,576
  6. Step 6: Final answer
    x = 212,532.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.