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Finding the Third Proportional to 116,476 and 252,728

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Solution

The third proportional to 116,476 and 252,728 is: 548,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,476 : 252,728 = 252,728 : x
  2. Step 2: Convert to fraction form
    116,476/252,728 = 252,728/x
  3. Step 3: Cross multiply
    116,476x = 252,728 × 252,728
  4. Step 4: Simplify right side
    116,476x = 63,871,441,984
  5. Step 5: Solve for x
    x = 63,871,441,984/116,476
  6. Step 6: Final answer
    x = 548,365.69

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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.