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Finding the Third Proportional to 291,600 and 633,728

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Solution

The third proportional to 291,600 and 633,728 is: 1,377,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,600 : 633,728 = 633,728 : x
  2. Step 2: Convert to fraction form
    291,600/633,728 = 633,728/x
  3. Step 3: Cross multiply
    291,600x = 633,728 × 633,728
  4. Step 4: Simplify right side
    291,600x = 401,611,177,984
  5. Step 5: Solve for x
    x = 401,611,177,984/291,600
  6. Step 6: Final answer
    x = 1,377,267.41

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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.