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Finding the Third Proportional to 120,703 and 177,355

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Solution

The third proportional to 120,703 and 177,355 is: 260,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,703 : 177,355 = 177,355 : x
  2. Step 2: Convert to fraction form
    120,703/177,355 = 177,355/x
  3. Step 3: Cross multiply
    120,703x = 177,355 × 177,355
  4. Step 4: Simplify right side
    120,703x = 31,454,796,025
  5. Step 5: Solve for x
    x = 31,454,796,025/120,703
  6. Step 6: Final answer
    x = 260,596.64

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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.