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Finding the Third Proportional to 119,916 and 172,728

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Solution

The third proportional to 119,916 and 172,728 is: 248,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,916 : 172,728 = 172,728 : x
  2. Step 2: Convert to fraction form
    119,916/172,728 = 172,728/x
  3. Step 3: Cross multiply
    119,916x = 172,728 × 172,728
  4. Step 4: Simplify right side
    119,916x = 29,834,961,984
  5. Step 5: Solve for x
    x = 29,834,961,984/119,916
  6. Step 6: Final answer
    x = 248,798.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.