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Finding the Third Proportional to 114,801 and 172,640

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Solution

The third proportional to 114,801 and 172,640 is: 259,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,801 : 172,640 = 172,640 : x
  2. Step 2: Convert to fraction form
    114,801/172,640 = 172,640/x
  3. Step 3: Cross multiply
    114,801x = 172,640 × 172,640
  4. Step 4: Simplify right side
    114,801x = 29,804,569,600
  5. Step 5: Solve for x
    x = 29,804,569,600/114,801
  6. Step 6: Final answer
    x = 259,619.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.