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Finding the Third Proportional to 177,453 and 275,221

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Solution

The third proportional to 177,453 and 275,221 is: 426,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 275,221 = 275,221 : x
  2. Step 2: Convert to fraction form
    177,453/275,221 = 275,221/x
  3. Step 3: Cross multiply
    177,453x = 275,221 × 275,221
  4. Step 4: Simplify right side
    177,453x = 75,746,598,841
  5. Step 5: Solve for x
    x = 75,746,598,841/177,453
  6. Step 6: Final answer
    x = 426,854.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.