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Finding the Third Proportional to 172,918 and 259,377

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Solution

The third proportional to 172,918 and 259,377 is: 389,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,918 : 259,377 = 259,377 : x
  2. Step 2: Convert to fraction form
    172,918/259,377 = 259,377/x
  3. Step 3: Cross multiply
    172,918x = 259,377 × 259,377
  4. Step 4: Simplify right side
    172,918x = 67,276,428,129
  5. Step 5: Solve for x
    x = 67,276,428,129/172,918
  6. Step 6: Final answer
    x = 389,065.50

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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.