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Finding the Third Proportional to 475,772 and 728,728

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Solution

The third proportional to 475,772 and 728,728 is: 1,116,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,772 : 728,728 = 728,728 : x
  2. Step 2: Convert to fraction form
    475,772/728,728 = 728,728/x
  3. Step 3: Cross multiply
    475,772x = 728,728 × 728,728
  4. Step 4: Simplify right side
    475,772x = 531,044,497,984
  5. Step 5: Solve for x
    x = 531,044,497,984/475,772
  6. Step 6: Final answer
    x = 1,116,174.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.