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Finding the Third Proportional to 172,962 and 375,447

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Solution

The third proportional to 172,962 and 375,447 is: 814,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,962 : 375,447 = 375,447 : x
  2. Step 2: Convert to fraction form
    172,962/375,447 = 375,447/x
  3. Step 3: Cross multiply
    172,962x = 375,447 × 375,447
  4. Step 4: Simplify right side
    172,962x = 140,960,449,809
  5. Step 5: Solve for x
    x = 140,960,449,809/172,962
  6. Step 6: Final answer
    x = 814,979.30

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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.