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Finding the Third Proportional to 120,606 and 177,293

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Solution

The third proportional to 120,606 and 177,293 is: 260,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,606 : 177,293 = 177,293 : x
  2. Step 2: Convert to fraction form
    120,606/177,293 = 177,293/x
  3. Step 3: Cross multiply
    120,606x = 177,293 × 177,293
  4. Step 4: Simplify right side
    120,606x = 31,432,807,849
  5. Step 5: Solve for x
    x = 31,432,807,849/120,606
  6. Step 6: Final answer
    x = 260,623.91

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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.