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Finding the Third Proportional to 115,281 and 172,923

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Solution

The third proportional to 115,281 and 172,923 is: 259,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,281 : 172,923 = 172,923 : x
  2. Step 2: Convert to fraction form
    115,281/172,923 = 172,923/x
  3. Step 3: Cross multiply
    115,281x = 172,923 × 172,923
  4. Step 4: Simplify right side
    115,281x = 29,902,363,929
  5. Step 5: Solve for x
    x = 29,902,363,929/115,281
  6. Step 6: Final answer
    x = 259,386.75

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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.