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Finding the Third Proportional to 177,721 and 282,505

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Solution

The third proportional to 177,721 and 282,505 is: 449,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,721 : 282,505 = 282,505 : x
  2. Step 2: Convert to fraction form
    177,721/282,505 = 282,505/x
  3. Step 3: Cross multiply
    177,721x = 282,505 × 282,505
  4. Step 4: Simplify right side
    177,721x = 79,809,075,025
  5. Step 5: Solve for x
    x = 79,809,075,025/177,721
  6. Step 6: Final answer
    x = 449,069.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.