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Finding the Third Proportional to 177,800 and 259,672

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Solution

The third proportional to 177,800 and 259,672 is: 379,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,800 : 259,672 = 259,672 : x
  2. Step 2: Convert to fraction form
    177,800/259,672 = 259,672/x
  3. Step 3: Cross multiply
    177,800x = 259,672 × 259,672
  4. Step 4: Simplify right side
    177,800x = 67,429,547,584
  5. Step 5: Solve for x
    x = 67,429,547,584/177,800
  6. Step 6: Final answer
    x = 379,243.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.