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Finding the Third Proportional to 120,836 and 177,553

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Solution

The third proportional to 120,836 and 177,553 is: 260,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,836 : 177,553 = 177,553 : x
  2. Step 2: Convert to fraction form
    120,836/177,553 = 177,553/x
  3. Step 3: Cross multiply
    120,836x = 177,553 × 177,553
  4. Step 4: Simplify right side
    120,836x = 31,525,067,809
  5. Step 5: Solve for x
    x = 31,525,067,809/120,836
  6. Step 6: Final answer
    x = 260,891.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.